Solve (3(5x-26)-2-10)=(5(5x-26))*4

$$(3(5x-26)-2-10)=(5(5x-26)) \times 4$$

Solve for x

$$x = \frac{86}{17} = 5\frac{1}{17} \approx 5.058823529$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by 5x-26.

$$15x-78-2-10=5\left(5x-26\right)\times 4$$

Subtract 2 from -78 to get -80.

$$15x-80-10=5\left(5x-26\right)\times 4$$

Subtract 10 from -80 to get -90.

$$15x-90=5\left(5x-26\right)\times 4$$

Multiply 5 and 4 to get 20.

$$15x-90=20\left(5x-26\right)$$

Use the distributive property to multiply 20 by 5x-26.

$$15x-90=100x-520$$

Subtract 100x from both sides.

$$15x-90-100x=-520$$

Combine 15x and -100x to get -85x.

$$-85x-90=-520$$

Add 90 to both sides.

$$-85x=-520+90$$

Add -520 and 90 to get -430.

$$-85x=-430$$

Divide both sides by -85.

$$x=\frac{-430}{-85}$$

Reduce the fraction \frac{-430}{-85} to lowest terms by extracting and canceling out -5.

$$x=\frac{86}{17}$$