Solve 5x + 7/2 = (3x)/2 - 14 | 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

$$5x+\frac{7}{2}=\frac{3x}{2}-14$$

Solve for x

$x=-5$

Steps for Solving Linear Equation

Multiply both sides of the equation by $2$.

$$10x+7=3x-28$$

Subtract $3x$ from both sides.

$$10x+7-3x=-28$$

Combine $10x$ and $-3x$ to get $7x$.

$$7x+7=-28$$

Subtract $7$ from both sides.

$$7x=-28-7$$

Subtract $7$ from $-28$ to get $-35$.

$$7x=-35$$

Divide both sides by $7$.

$$x=\frac{-35}{7}$$

Divide $-35$ by $7$ to get $-5$.

$$x=-5$$