Solve 2(x-17)=x-3(12-2x) | 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

$$2(x-17)=x-3(12-2x)$$

Solve for x

$x=\frac{2}{5}=0.4$

Steps for Solving Linear Equation

Use the distributive property to multiply $2$ by $x-17$.

$$2x-34=x-3\left(12-2x\right)$$

Use the distributive property to multiply $-3$ by $12-2x$.

$$2x-34=x-36+6x$$

Combine $x$ and $6x$ to get $7x$.

$$2x-34=7x-36$$

Subtract $7x$ from both sides.

$$2x-34-7x=-36$$

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

$$-5x-34=-36$$

Add $34$ to both sides.

$$-5x=-36+34$$

Add $-36$ and $34$ to get $-2$.

$$-5x=-2$$

Divide both sides by $-5$.

$$x=\frac{-2}{-5}$$

Fraction $\frac{-2}{-5}$ can be simplified to $\frac{2}{5}$ by removing the negative sign from both the numerator and the denominator.

$$x=\frac{2}{5}$$