Solve 851\div(5x+3)=30+7 | Equatix

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Question

$$851 \div (5x+3)=30+7$$

Solve for x

$x=4$

Steps for Solving Linear Equation

Variable $x$ cannot be equal to $-\frac{3}{5}$ since division by zero is not defined. Multiply both sides of the equation by $5x+3$.

$$851=\left(5x+3\right)\times 30+\left(5x+3\right)\times 7$$

Use the distributive property to multiply $5x+3$ by $30$.

$$851=150x+90+\left(5x+3\right)\times 7$$

Use the distributive property to multiply $5x+3$ by $7$.

$$851=150x+90+35x+21$$

Combine $150x$ and $35x$ to get $185x$.

$$851=185x+90+21$$

Add $90$ and $21$ to get $111$.

$$851=185x+111$$

Swap sides so that all variable terms are on the left hand side.

$$185x+111=851$$

Subtract $111$ from both sides.

$$185x=851-111$$

Subtract $111$ from $851$ to get $740$.

$$185x=740$$

Divide both sides by $185$.

$$x=\frac{740}{185}$$

Divide $740$ by $185$ to get $4$.

$$x=4$$

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