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

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


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

Reorder the terms:
6 = 4(-2 + x) + -1(x + -5)
6 = (-2 * 4 + x * 4) + -1(x + -5)
6 = (-8 + 4x) + -1(x + -5)

Reorder the terms:
6 = -8 + 4x + -1(-5 + x)
6 = -8 + 4x + (-5 * -1 + x * -1)
6 = -8 + 4x + (5 + -1x)

Reorder the terms:
6 = -8 + 5 + 4x + -1x

Combine like terms: -8 + 5 = -3
6 = -3 + 4x + -1x

Combine like terms: 4x + -1x = 3x
6 = -3 + 3x

Solving
6 = -3 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
6 + -3x = -3 + 3x + -3x

Combine like terms: 3x + -3x = 0
6 + -3x = -3 + 0
6 + -3x = -3

Add '-6' to each side of the equation.
6 + -6 + -3x = -3 + -6

Combine like terms: 6 + -6 = 0
0 + -3x = -3 + -6
-3x = -3 + -6

Combine like terms: -3 + -6 = -9
-3x = -9

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

Simplifying
x = 3

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