Algebra Examples

$5 x + 2 x - 3 = - 3 x + 10 x$

Step 1

Move all the expressions to the left side of the equation.

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Step 1.1

Add $3 x$ to both sides of the equation.

$5 x + 2 x - 3 + 3 x = 10 x$

Step 1.2

Subtract $10 x$ from both sides of the equation.

$5 x + 2 x - 3 + 3 x - 10 x = 0$

Step 2

Simplify $5 x + 2 x - 3 + 3 x - 10 x$ .

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Step 2.1

Add $5 x$ and $2 x$ .

$7 x - 3 + 3 x - 10 x = 0$

Step 2.2

Add $7 x$ and $3 x$ .

$10 x - 3 - 10 x = 0$

Step 2.3

Combine the opposite terms in $10 x - 3 - 10 x$ .

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Step 2.3.1

Subtract $10 x$ from $10 x$ .

$0 - 3 = 0$

Step 2.3.2

Subtract $3$ from $0$ .

$- 3 = 0$

Step 3

Since $- 3 \neq 0$ , there are no solutions.

No solution