4*(x+5)-4*(3x-2)=90

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Solution for 4*(x+5)-4*(3x-2)=90 equation: 


Simplifying
4(x + 5) + -4(3x + -2) = 90

Reorder the terms:
4(5 + x) + -4(3x + -2) = 90
(5 * 4 + x * 4) + -4(3x + -2) = 90
(20 + 4x) + -4(3x + -2) = 90

Reorder the terms:
20 + 4x + -4(-2 + 3x) = 90
20 + 4x + (-2 * -4 + 3x * -4) = 90
20 + 4x + (8 + -12x) = 90

Reorder the terms:
20 + 8 + 4x + -12x = 90

Combine like terms: 20 + 8 = 28
28 + 4x + -12x = 90

Combine like terms: 4x + -12x = -8x
28 + -8x = 90

Solving
28 + -8x = 90

Solving for variable 'x'.

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

Add '-28' to each side of the equation.
28 + -28 + -8x = 90 + -28

Combine like terms: 28 + -28 = 0
0 + -8x = 90 + -28
-8x = 90 + -28

Combine like terms: 90 + -28 = 62
-8x = 62

Divide each side by '-8'.
x = -7.75

Simplifying
x = -7.75

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