Solve 6(2-3x)+5(1-4x)=3x-24 | 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

$$6(2-3x)+5(1-4x)=3x-24$$

Solve for x

$x=1$

Steps for Solving Linear Equation

Use the distributive property to multiply $6$ by $2-3x$.

$$12-18x+5\left(1-4x\right)=3x-24$$

Use the distributive property to multiply $5$ by $1-4x$.

$$12-18x+5-20x=3x-24$$

Add $12$ and $5$ to get $17$.

$$17-18x-20x=3x-24$$

Combine $-18x$ and $-20x$ to get $-38x$.

$$17-38x=3x-24$$

Subtract $3x$ from both sides.

$$17-38x-3x=-24$$

Combine $-38x$ and $-3x$ to get $-41x$.

$$17-41x=-24$$

Subtract $17$ from both sides.

$$-41x=-24-17$$

Subtract $17$ from $-24$ to get $-41$.

$$-41x=-41$$

Divide both sides by $-41$.

$$x=\frac{-41}{-41}$$

Divide $-41$ by $-41$ to get $1$.

$$x=1$$