Solve -2(1-3x)=22-3(x-13) | 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

$$-2(1-3x)=22-3(x-13)$$

Solve for x

$x=7$

Steps for Solving Linear Equation

Use the distributive property to multiply $-2$ by $1-3x$.

$$-2+6x=22-3\left(x-13\right)$$

Use the distributive property to multiply $-3$ by $x-13$.

$$-2+6x=22-3x+39$$

Add $22$ and $39$ to get $61$.

$$-2+6x=61-3x$$

Add $3x$ to both sides.

$$-2+6x+3x=61$$

Combine $6x$ and $3x$ to get $9x$.

$$-2+9x=61$$

Add $2$ to both sides.

$$9x=61+2$$

Add $61$ and $2$ to get $63$.

$$9x=63$$

Divide both sides by $9$.

$$x=\frac{63}{9}$$

Divide $63$ by $9$ to get $7$.

$$x=7$$