Solve x + 7 - (16x)/3 = 12 - (7x)/3 | 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

$$x+7-\frac{16x}{3}=12-\frac{7x}{3}$$

Solve for x

$x = -\frac{5}{2} = -2\frac{1}{2} = -2.5$

Steps for Solving Linear Equation

Multiply both sides of the equation by $3$.

$$3x+21-16x=36-7x$$

Combine $3x$ and $-16x$ to get $-13x$.

$$-13x+21=36-7x$$

Add $7x$ to both sides.

$$-13x+21+7x=36$$

Combine $-13x$ and $7x$ to get $-6x$.

$$-6x+21=36$$

Subtract $21$ from both sides.

$$-6x=36-21$$

Subtract $21$ from $36$ to get $15$.

$$-6x=15$$

Divide both sides by $-6$.

$$x=\frac{15}{-6}$$

Reduce the fraction $\frac{15}{-6}$ to lowest terms by extracting and canceling out $3$.

$$x=-\frac{5}{2}$$