Solve 5((7x+5)/(3))-(23)/(3)=13-(4x-2)/(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

$$5( \frac{ 7x+5 }{ 3 } )- \frac{ 23 }{ 3 } =13- \frac{ 4x-2 }{ 3 }$$

Solve for x

$x=1$

Steps for Solving Linear Equation

Multiply both sides of the equation by $3$.

$$5\left(7x+5\right)-23=39-\left(4x-2\right)$$

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

$$35x+25-23=39-\left(4x-2\right)$$

Subtract $23$ from $25$ to get $2$.

$$35x+2=39-\left(4x-2\right)$$

To find the opposite of $4x-2$, find the opposite of each term.

$$35x+2=39-4x-\left(-2\right)$$

The opposite of $-2$ is $2$.

$$35x+2=39-4x+2$$

Add $39$ and $2$ to get $41$.

$$35x+2=41-4x$$

Add $4x$ to both sides.

$$35x+2+4x=41$$

Combine $35x$ and $4x$ to get $39x$.

$$39x+2=41$$

Subtract $2$ from both sides.

$$39x=41-2$$

Subtract $2$ from $41$ to get $39$.

$$39x=39$$

Divide both sides by $39$.

$$x=\frac{39}{39}$$

Divide $39$ by $39$ to get $1$.

$$x=1$$