Solve 7(x + 2) = 8(x - 2) | 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

$$7(x+2)=8(x-2)$$

Solve for x

$x=30$

Steps for Solving Linear Equation

Use the distributive property to multiply $7$ by $x+2$.

$$7x+14=8\left(x-2\right)$$

Use the distributive property to multiply $8$ by $x-2$.

$$7x+14=8x-16$$

Subtract $8x$ from both sides.

$$7x+14-8x=-16$$

Combine $7x$ and $-8x$ to get $-x$.

$$-x+14=-16$$

Subtract $14$ from both sides.

$$-x=-16-14$$

Subtract $14$ from $-16$ to get $-30$.

$$-x=-30$$

Multiply both sides by $-1$.

$$x=30$$