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

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


Simplifying
3(x + 4) + -4 = 2x + -1(2x + -11)

Reorder the terms:
3(4 + x) + -4 = 2x + -1(2x + -11)
(4 * 3 + x * 3) + -4 = 2x + -1(2x + -11)
(12 + 3x) + -4 = 2x + -1(2x + -11)

Reorder the terms:
12 + -4 + 3x = 2x + -1(2x + -11)

Combine like terms: 12 + -4 = 8
8 + 3x = 2x + -1(2x + -11)

Reorder the terms:
8 + 3x = 2x + -1(-11 + 2x)
8 + 3x = 2x + (-11 * -1 + 2x * -1)
8 + 3x = 2x + (11 + -2x)

Reorder the terms:
8 + 3x = 11 + 2x + -2x

Combine like terms: 2x + -2x = 0
8 + 3x = 11 + 0
8 + 3x = 11

Solving
8 + 3x = 11

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + -8 + 3x = 11 + -8

Combine like terms: 8 + -8 = 0
0 + 3x = 11 + -8
3x = 11 + -8

Combine like terms: 11 + -8 = 3
3x = 3

Divide each side by '3'.
x = 1

Simplifying
x = 1

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