Algebra Examples

$5 x + 2 (3 x + 4 (5 x - 8 (2 x + 4) - 9) + 5 x) + 600 = 56$

Step 1

The standard form of a linear equation is $A x + B y = C$ .

Step 2

Simplify the left side.

Tap for more steps...

Step 2.1

Simplify $5 x + 2 (3 x + 4 (5 x - 8 (2 x + 4) - 9) + 5 x) + 600$ .

Tap for more steps...

Step 2.1.1

Simplify each term.

Tap for more steps...

Step 2.1.1.1

Simplify each term.

Tap for more steps...

Step 2.1.1.1.1

Simplify each term.

Tap for more steps...

Step 2.1.1.1.1.1

Apply the distributive property.

$5 x + 2 (3 x + 4 (5 x - 8 (2 x) - 8 \cdot 4 - 9) + 5 x) + 600 = 56$

Step 2.1.1.1.1.2

Multiply $2$ by $- 8$ .

$5 x + 2 (3 x + 4 (5 x - 16 x - 8 \cdot 4 - 9) + 5 x) + 600 = 56$

Step 2.1.1.1.1.3

Multiply $- 8$ by $4$ .

$5 x + 2 (3 x + 4 (5 x - 16 x - 32 - 9) + 5 x) + 600 = 56$

Step 2.1.1.1.2

Subtract $16 x$ from $5 x$ .

$5 x + 2 (3 x + 4 (- 11 x - 32 - 9) + 5 x) + 600 = 56$

Step 2.1.1.1.3

Subtract $9$ from $- 32$ .

$5 x + 2 (3 x + 4 (- 11 x - 41) + 5 x) + 600 = 56$

Step 2.1.1.1.4

Apply the distributive property.

$5 x + 2 (3 x + 4 (- 11 x) + 4 \cdot - 41 + 5 x) + 600 = 56$

Step 2.1.1.1.5

Multiply $- 11$ by $4$ .

$5 x + 2 (3 x - 44 x + 4 \cdot - 41 + 5 x) + 600 = 56$

Step 2.1.1.1.6

Multiply $4$ by $- 41$ .

$5 x + 2 (3 x - 44 x - 164 + 5 x) + 600 = 56$

Step 2.1.1.2

Subtract $44 x$ from $3 x$ .

$5 x + 2 (- 41 x - 164 + 5 x) + 600 = 56$

Step 2.1.1.3

Add $- 41 x$ and $5 x$ .

$5 x + 2 (- 36 x - 164) + 600 = 56$

Step 2.1.1.4

Apply the distributive property.

$5 x + 2 (- 36 x) + 2 \cdot - 164 + 600 = 56$

Step 2.1.1.5

Multiply $- 36$ by $2$ .

$5 x - 72 x + 2 \cdot - 164 + 600 = 56$

Step 2.1.1.6

Multiply $2$ by $- 164$ .

$5 x - 72 x - 328 + 600 = 56$

Step 2.1.2

Simplify by adding terms.

Tap for more steps...

Step 2.1.2.1

Subtract $72 x$ from $5 x$ .

$- 67 x - 328 + 600 = 56$

Step 2.1.2.2

Add $- 328$ and $600$ .

$- 67 x + 272 = 56$

Step 3

Rewrite the equation.

$56 = - 67 x + 272$

Step 4

Move all terms containing variables to the left side of the equation.

Tap for more steps...

Step 4.1

Add $67 x$ to both sides of the equation.

$56 + 67 x = 272$

Step 4.2

Reorder $56$ and $67 x$ .

$67 x + 56 = 272$

Step 5

Move all terms not containing a variable to the right side of the equation.

Tap for more steps...

Step 5.1

Subtract $56$ from both sides of the equation.

$67 x = 272 - 56$

Step 5.2

Subtract $56$ from $272$ .

$67 x = 216$

Step 6