6x-4(x-1)=5(x+2)-3

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Solution for 6x-4(x-1)=5(x+2)-3 equation:


Simplifying
6x + -4(x + -1) = 5(x + 2) + -3

Reorder the terms:
6x + -4(-1 + x) = 5(x + 2) + -3
6x + (-1 * -4 + x * -4) = 5(x + 2) + -3
6x + (4 + -4x) = 5(x + 2) + -3

Reorder the terms:
4 + 6x + -4x = 5(x + 2) + -3

Combine like terms: 6x + -4x = 2x
4 + 2x = 5(x + 2) + -3

Reorder the terms:
4 + 2x = 5(2 + x) + -3
4 + 2x = (2 * 5 + x * 5) + -3
4 + 2x = (10 + 5x) + -3

Reorder the terms:
4 + 2x = 10 + -3 + 5x

Combine like terms: 10 + -3 = 7
4 + 2x = 7 + 5x

Solving
4 + 2x = 7 + 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.
4 + 2x + -5x = 7 + 5x + -5x

Combine like terms: 2x + -5x = -3x
4 + -3x = 7 + 5x + -5x

Combine like terms: 5x + -5x = 0
4 + -3x = 7 + 0
4 + -3x = 7

Add '-4' to each side of the equation.
4 + -4 + -3x = 7 + -4

Combine like terms: 4 + -4 = 0
0 + -3x = 7 + -4
-3x = 7 + -4

Combine like terms: 7 + -4 = 3
-3x = 3

Divide each side by '-3'.
x = -1

Simplifying
x = -1

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