Solve (3x + 5x)/2 - 3 = 6x + 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

$$\frac{3x+5x}{2}-3=6x+2$$

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 $2$.

$$3x+5x-6=12x+4$$

Combine $3x$ and $5x$ to get $8x$.

$$8x-6=12x+4$$

Subtract $12x$ from both sides.

$$8x-6-12x=4$$

Combine $8x$ and $-12x$ to get $-4x$.

$$-4x-6=4$$

Add $6$ to both sides.

$$-4x=4+6$$

Add $4$ and $6$ to get $10$.

$$-4x=10$$

Divide both sides by $-4$.

$$x=\frac{10}{-4}$$

Reduce the fraction $\frac{10}{-4}$ to lowest terms by extracting and canceling out $2$.

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