6x-(5-2x)+9=4(x-2)

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Solution for 6x-(5-2x)+9=4(x-2) equation:


Simplifying
6x + -1(5 + -2x) + 9 = 4(x + -2)
6x + (5 * -1 + -2x * -1) + 9 = 4(x + -2)
6x + (-5 + 2x) + 9 = 4(x + -2)

Reorder the terms:
-5 + 9 + 6x + 2x = 4(x + -2)

Combine like terms: -5 + 9 = 4
4 + 6x + 2x = 4(x + -2)

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

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

Solving
4 + 8x = -8 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
4 + 8x + -4x = -8 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
4 + 4x = -8 + 0
4 + 4x = -8

Add '-4' to each side of the equation.
4 + -4 + 4x = -8 + -4

Combine like terms: 4 + -4 = 0
0 + 4x = -8 + -4
4x = -8 + -4

Combine like terms: -8 + -4 = -12
4x = -12

Divide each side by '4'.
x = -3

Simplifying
x = -3

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