8(2x-3)-5(2x+8)=38-(1-5x)4

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Solution for 8(2x-3)-5(2x+8)=38-(1-5x)4 equation: 


Simplifying
8(2x + -3) + -5(2x + 8) = 38 + -1(1 + -5x) * 4

Reorder the terms:
8(-3 + 2x) + -5(2x + 8) = 38 + -1(1 + -5x) * 4
(-3 * 8 + 2x * 8) + -5(2x + 8) = 38 + -1(1 + -5x) * 4
(-24 + 16x) + -5(2x + 8) = 38 + -1(1 + -5x) * 4

Reorder the terms:
-24 + 16x + -5(8 + 2x) = 38 + -1(1 + -5x) * 4
-24 + 16x + (8 * -5 + 2x * -5) = 38 + -1(1 + -5x) * 4
-24 + 16x + (-40 + -10x) = 38 + -1(1 + -5x) * 4

Reorder the terms:
-24 + -40 + 16x + -10x = 38 + -1(1 + -5x) * 4

Combine like terms: -24 + -40 = -64
-64 + 16x + -10x = 38 + -1(1 + -5x) * 4

Combine like terms: 16x + -10x = 6x
-64 + 6x = 38 + -1(1 + -5x) * 4

Reorder the terms for easier multiplication:
-64 + 6x = 38 + -1 * 4(1 + -5x)

Multiply -1 * 4
-64 + 6x = 38 + -4(1 + -5x)
-64 + 6x = 38 + (1 * -4 + -5x * -4)
-64 + 6x = 38 + (-4 + 20x)

Combine like terms: 38 + -4 = 34
-64 + 6x = 34 + 20x

Solving
-64 + 6x = 34 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
-64 + 6x + -20x = 34 + 20x + -20x

Combine like terms: 6x + -20x = -14x
-64 + -14x = 34 + 20x + -20x

Combine like terms: 20x + -20x = 0
-64 + -14x = 34 + 0
-64 + -14x = 34

Add '64' to each side of the equation.
-64 + 64 + -14x = 34 + 64

Combine like terms: -64 + 64 = 0
0 + -14x = 34 + 64
-14x = 34 + 64

Combine like terms: 34 + 64 = 98
-14x = 98

Divide each side by '-14'.
x = -7

Simplifying
x = -7

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