5(4x-7)-4=5(x-2)+76

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Solution for 5(4x-7)-4=5(x-2)+76 equation:


Simplifying
5(4x + -7) + -4 = 5(x + -2) + 76

Reorder the terms:
5(-7 + 4x) + -4 = 5(x + -2) + 76
(-7 * 5 + 4x * 5) + -4 = 5(x + -2) + 76
(-35 + 20x) + -4 = 5(x + -2) + 76

Reorder the terms:
-35 + -4 + 20x = 5(x + -2) + 76

Combine like terms: -35 + -4 = -39
-39 + 20x = 5(x + -2) + 76

Reorder the terms:
-39 + 20x = 5(-2 + x) + 76
-39 + 20x = (-2 * 5 + x * 5) + 76
-39 + 20x = (-10 + 5x) + 76

Reorder the terms:
-39 + 20x = -10 + 76 + 5x

Combine like terms: -10 + 76 = 66
-39 + 20x = 66 + 5x

Solving
-39 + 20x = 66 + 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.
-39 + 20x + -5x = 66 + 5x + -5x

Combine like terms: 20x + -5x = 15x
-39 + 15x = 66 + 5x + -5x

Combine like terms: 5x + -5x = 0
-39 + 15x = 66 + 0
-39 + 15x = 66

Add '39' to each side of the equation.
-39 + 39 + 15x = 66 + 39

Combine like terms: -39 + 39 = 0
0 + 15x = 66 + 39
15x = 66 + 39

Combine like terms: 66 + 39 = 105
15x = 105

Divide each side by '15'.
x = 7

Simplifying
x = 7

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