Solve 6(3x + 1) - 3x = 11x | 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

$$6(3x+1)-3x=11x$$

Solve for x

$x = -\frac{3}{2} = -1\frac{1}{2} = -1.5$

Steps for Solving Linear Equation

Use the distributive property to multiply $6$ by $3x+1$.

$$18x+6-3x=11x$$

Combine $18x$ and $-3x$ to get $15x$.

$$15x+6=11x$$

Subtract $11x$ from both sides.

$$15x+6-11x=0$$

Combine $15x$ and $-11x$ to get $4x$.

$$4x+6=0$$

Subtract $6$ from both sides. Anything subtracted from zero gives its negation.

$$4x=-6$$

Divide both sides by $4$.

$$x=\frac{-6}{4}$$

Reduce the fraction $\frac{-6}{4}$ to lowest terms by extracting and canceling out $2$.

$$x=-\frac{3}{2}$$