Solve -3(4x+1)=5(-6x+7)-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

$$-3(4x+1)=5(-6x+7)-2$$

Solve for x

$x=2$

Steps for Solving Linear Equation

Use the distributive property to multiply $-3$ by $4x+1$.

$$-12x-3=5\left(-6x+7\right)-2$$

Use the distributive property to multiply $5$ by $-6x+7$.

$$-12x-3=-30x+35-2$$

Subtract $2$ from $35$ to get $33$.

$$-12x-3=-30x+33$$

Add $30x$ to both sides.

$$-12x-3+30x=33$$

Combine $-12x$ and $30x$ to get $18x$.

$$18x-3=33$$

Add $3$ to both sides.

$$18x=33+3$$

Add $33$ and $3$ to get $36$.

$$18x=36$$

Divide both sides by $18$.

$$x=\frac{36}{18}$$

Divide $36$ by $18$ to get $2$.

$$x=2$$