Solve 4x8 3(5x - 7) - 2(9x - 11) = 4(8x - 13) - 17 ) 2 ) 10 | 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

$$3 ( 5 x - 7 ) - 2 ( 9 x - 11 ) = 4 ( 8 x - 13 ) - 17$$

Solve for x

$x=2$

Steps for Solving Linear Equation

Use the distributive property to multiply $3$ by $5x-7$.

$$15x-21-2\left(9x-11\right)=4\left(8x-13\right)-17$$

Use the distributive property to multiply $-2$ by $9x-11$.

$$15x-21-18x+22=4\left(8x-13\right)-17$$

Combine $15x$ and $-18x$ to get $-3x$.

$$-3x-21+22=4\left(8x-13\right)-17$$

Add $-21$ and $22$ to get $1$.

$$-3x+1=4\left(8x-13\right)-17$$

Use the distributive property to multiply $4$ by $8x-13$.

$$-3x+1=32x-52-17$$

Subtract $17$ from $-52$ to get $-69$.

$$-3x+1=32x-69$$

Subtract $32x$ from both sides.

$$-3x+1-32x=-69$$

Combine $-3x$ and $-32x$ to get $-35x$.

$$-35x+1=-69$$

Subtract $1$ from both sides.

$$-35x=-69-1$$

Subtract $1$ from $-69$ to get $-70$.

$$-35x=-70$$

Divide both sides by $-35$.

$$x=\frac{-70}{-35}$$

Divide $-70$ by $-35$ to get $2$.

$$x=2$$