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

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


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

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

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

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

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

Reorder the terms:
8 + -1x = 5 + 4x + -3x

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

Solving
8 + -1x = 5 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
8 + -1x + -1x = 5 + 1x + -1x

Combine like terms: -1x + -1x = -2x
8 + -2x = 5 + 1x + -1x

Combine like terms: 1x + -1x = 0
8 + -2x = 5 + 0
8 + -2x = 5

Add '-8' to each side of the equation.
8 + -8 + -2x = 5 + -8

Combine like terms: 8 + -8 = 0
0 + -2x = 5 + -8
-2x = 5 + -8

Combine like terms: 5 + -8 = -3
-2x = -3

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5

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