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

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


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

Reorder the terms:
4(-2 + 7x) + 4(8 + -3x) + -5(3x + 3) = 4
(-2 * 4 + 7x * 4) + 4(8 + -3x) + -5(3x + 3) = 4
(-8 + 28x) + 4(8 + -3x) + -5(3x + 3) = 4
-8 + 28x + (8 * 4 + -3x * 4) + -5(3x + 3) = 4
-8 + 28x + (32 + -12x) + -5(3x + 3) = 4

Reorder the terms:
-8 + 28x + 32 + -12x + -5(3 + 3x) = 4
-8 + 28x + 32 + -12x + (3 * -5 + 3x * -5) = 4
-8 + 28x + 32 + -12x + (-15 + -15x) = 4

Reorder the terms:
-8 + 32 + -15 + 28x + -12x + -15x = 4

Combine like terms: -8 + 32 = 24
24 + -15 + 28x + -12x + -15x = 4

Combine like terms: 24 + -15 = 9
9 + 28x + -12x + -15x = 4

Combine like terms: 28x + -12x = 16x
9 + 16x + -15x = 4

Combine like terms: 16x + -15x = 1x
9 + 1x = 4

Solving
9 + 1x = 4

Solving for variable 'x'.

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

Add '-9' to each side of the equation.
9 + -9 + 1x = 4 + -9

Combine like terms: 9 + -9 = 0
0 + 1x = 4 + -9
1x = 4 + -9

Combine like terms: 4 + -9 = -5
1x = -5

Divide each side by '1'.
x = -5

Simplifying
x = -5

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