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

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


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

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

Remove parenthesis around (2x)
-8 + 4x + -5 * 2x = 8(x + 1) + -3(2x + 3)

Multiply -5 * 2
-8 + 4x + -10x = 8(x + 1) + -3(2x + 3)

Combine like terms: 4x + -10x = -6x
-8 + -6x = 8(x + 1) + -3(2x + 3)

Reorder the terms:
-8 + -6x = 8(1 + x) + -3(2x + 3)
-8 + -6x = (1 * 8 + x * 8) + -3(2x + 3)
-8 + -6x = (8 + 8x) + -3(2x + 3)

Reorder the terms:
-8 + -6x = 8 + 8x + -3(3 + 2x)
-8 + -6x = 8 + 8x + (3 * -3 + 2x * -3)
-8 + -6x = 8 + 8x + (-9 + -6x)

Reorder the terms:
-8 + -6x = 8 + -9 + 8x + -6x

Combine like terms: 8 + -9 = -1
-8 + -6x = -1 + 8x + -6x

Combine like terms: 8x + -6x = 2x
-8 + -6x = -1 + 2x

Solving
-8 + -6x = -1 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-8 + -6x + -2x = -1 + 2x + -2x

Combine like terms: -6x + -2x = -8x
-8 + -8x = -1 + 2x + -2x

Combine like terms: 2x + -2x = 0
-8 + -8x = -1 + 0
-8 + -8x = -1

Add '8' to each side of the equation.
-8 + 8 + -8x = -1 + 8

Combine like terms: -8 + 8 = 0
0 + -8x = -1 + 8
-8x = -1 + 8

Combine like terms: -1 + 8 = 7
-8x = 7

Divide each side by '-8'.
x = -0.875

Simplifying
x = -0.875

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