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

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


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

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

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

Reorder the terms:
8 + 4x = 3 + 8x + -3x

Combine like terms: 8x + -3x = 5x
8 + 4x = 3 + 5x

Solving
8 + 4x = 3 + 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.
8 + 4x + -5x = 3 + 5x + -5x

Combine like terms: 4x + -5x = -1x
8 + -1x = 3 + 5x + -5x

Combine like terms: 5x + -5x = 0
8 + -1x = 3 + 0
8 + -1x = 3

Add '-8' to each side of the equation.
8 + -8 + -1x = 3 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 3 + -8
-1x = 3 + -8

Combine like terms: 3 + -8 = -5
-1x = -5

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

Simplifying
x = 5

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