8(3x-2)+(4x-5)=7x

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Solution for 8(3x-2)+(4x-5)=7x equation:


Simplifying
8(3x + -2) + (4x + -5) = 7x

Reorder the terms:
8(-2 + 3x) + (4x + -5) = 7x
(-2 * 8 + 3x * 8) + (4x + -5) = 7x
(-16 + 24x) + (4x + -5) = 7x

Reorder the terms:
-16 + 24x + (-5 + 4x) = 7x

Remove parenthesis around (-5 + 4x)
-16 + 24x + -5 + 4x = 7x

Reorder the terms:
-16 + -5 + 24x + 4x = 7x

Combine like terms: -16 + -5 = -21
-21 + 24x + 4x = 7x

Combine like terms: 24x + 4x = 28x
-21 + 28x = 7x

Solving
-21 + 28x = 7x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7x' to each side of the equation.
-21 + 28x + -7x = 7x + -7x

Combine like terms: 28x + -7x = 21x
-21 + 21x = 7x + -7x

Combine like terms: 7x + -7x = 0
-21 + 21x = 0

Add '21' to each side of the equation.
-21 + 21 + 21x = 0 + 21

Combine like terms: -21 + 21 = 0
0 + 21x = 0 + 21
21x = 0 + 21

Combine like terms: 0 + 21 = 21
21x = 21

Divide each side by '21'.
x = 1

Simplifying
x = 1

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