Solve (7x - 8) - (2x - 5) = 17 | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$(7x-8)-(2x-5)=17$$

Solve for x

$x=4$

Steps for Solving Linear Equation

To find the opposite of $2x-5$, find the opposite of each term.

$$7x-8-2x-\left(-5\right)=17$$

The opposite of $-5$ is $5$.

$$7x-8-2x+5=17$$

Combine $7x$ and $-2x$ to get $5x$.

$$5x-8+5=17$$

Add $-8$ and $5$ to get $-3$.

$$5x-3=17$$

Add $3$ to both sides.

$$5x=17+3$$

Add $17$ and $3$ to get $20$.

$$5x=20$$

Divide both sides by $5$.

$$x=\frac{20}{5}$$

Divide $20$ by $5$ to get $4$.

$$x=4$$