4-2(x-11)=3(x+4)-6

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Solution for 4-2(x-11)=3(x+4)-6 equation: 


Simplifying
4 + -2(x + -11) = 3(x + 4) + -6

Reorder the terms:
4 + -2(-11 + x) = 3(x + 4) + -6
4 + (-11 * -2 + x * -2) = 3(x + 4) + -6
4 + (22 + -2x) = 3(x + 4) + -6

Combine like terms: 4 + 22 = 26
26 + -2x = 3(x + 4) + -6

Reorder the terms:
26 + -2x = 3(4 + x) + -6
26 + -2x = (4 * 3 + x * 3) + -6
26 + -2x = (12 + 3x) + -6

Reorder the terms:
26 + -2x = 12 + -6 + 3x

Combine like terms: 12 + -6 = 6
26 + -2x = 6 + 3x

Solving
26 + -2x = 6 + 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.
26 + -2x + -3x = 6 + 3x + -3x

Combine like terms: -2x + -3x = -5x
26 + -5x = 6 + 3x + -3x

Combine like terms: 3x + -3x = 0
26 + -5x = 6 + 0
26 + -5x = 6

Add '-26' to each side of the equation.
26 + -26 + -5x = 6 + -26

Combine like terms: 26 + -26 = 0
0 + -5x = 6 + -26
-5x = 6 + -26

Combine like terms: 6 + -26 = -20
-5x = -20

Divide each side by '-5'.
x = 4

Simplifying
x = 4

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