Solve -5(3x-2)+7(4x-1)=11x+169 | 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

$$-5(3x-2)+7(4x-1)=11x+169$$

Solve for x

$x=83$

Steps for Solving Linear Equation

Use the distributive property to multiply $-5$ by $3x-2$.

$$-15x+10+7\left(4x-1\right)=11x+169$$

Use the distributive property to multiply $7$ by $4x-1$.

$$-15x+10+28x-7=11x+169$$

Combine $-15x$ and $28x$ to get $13x$.

$$13x+10-7=11x+169$$

Subtract $7$ from $10$ to get $3$.

$$13x+3=11x+169$$

Subtract $11x$ from both sides.

$$13x+3-11x=169$$

Combine $13x$ and $-11x$ to get $2x$.

$$2x+3=169$$

Subtract $3$ from both sides.

$$2x=169-3$$

Subtract $3$ from $169$ to get $166$.

$$2x=166$$

Divide both sides by $2$.

$$x=\frac{166}{2}$$

Divide $166$ by $2$ to get $83$.

$$x=83$$