Solve (2x + 7)/3 - (x - 5)/4 = 3/8 * x | 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

$$\frac{2x+7}{3}-\frac{x-5}{4}=\frac{3}{8}x$$

Solve for x

$x=-86$

Steps for Solving Linear Equation

Multiply both sides of the equation by $24$, the least common multiple of $3,4,8$.

$$8\left(2x+7\right)-6\left(x-5\right)=9x$$

Use the distributive property to multiply $8$ by $2x+7$.

$$16x+56-6\left(x-5\right)=9x$$

Use the distributive property to multiply $-6$ by $x-5$.

$$16x+56-6x+30=9x$$

Combine $16x$ and $-6x$ to get $10x$.

$$10x+56+30=9x$$

Add $56$ and $30$ to get $86$.

$$10x+86=9x$$

Subtract $9x$ from both sides.

$$10x+86-9x=0$$

Combine $10x$ and $-9x$ to get $x$.

$$x+86=0$$

Subtract $86$ from both sides. Anything subtracted from zero gives its negation.

$$x=-86$$