5(3x-5)-4=5(x-5)+56

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Solution for 5(3x-5)-4=5(x-5)+56 equation:


Simplifying
5(3x + -5) + -4 = 5(x + -5) + 56

Reorder the terms:
5(-5 + 3x) + -4 = 5(x + -5) + 56
(-5 * 5 + 3x * 5) + -4 = 5(x + -5) + 56
(-25 + 15x) + -4 = 5(x + -5) + 56

Reorder the terms:
-25 + -4 + 15x = 5(x + -5) + 56

Combine like terms: -25 + -4 = -29
-29 + 15x = 5(x + -5) + 56

Reorder the terms:
-29 + 15x = 5(-5 + x) + 56
-29 + 15x = (-5 * 5 + x * 5) + 56
-29 + 15x = (-25 + 5x) + 56

Reorder the terms:
-29 + 15x = -25 + 56 + 5x

Combine like terms: -25 + 56 = 31
-29 + 15x = 31 + 5x

Solving
-29 + 15x = 31 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-29 + 15x + -5x = 31 + 5x + -5x

Combine like terms: 15x + -5x = 10x
-29 + 10x = 31 + 5x + -5x

Combine like terms: 5x + -5x = 0
-29 + 10x = 31 + 0
-29 + 10x = 31

Add '29' to each side of the equation.
-29 + 29 + 10x = 31 + 29

Combine like terms: -29 + 29 = 0
0 + 10x = 31 + 29
10x = 31 + 29

Combine like terms: 31 + 29 = 60
10x = 60

Divide each side by '10'.
x = 6

Simplifying
x = 6

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