3(x+2)-4=11-(x-7)

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Solution for 3(x+2)-4=11-(x-7) equation:


Simplifying
3(x + 2) + -4 = 11 + -1(x + -7)

Reorder the terms:
3(2 + x) + -4 = 11 + -1(x + -7)
(2 * 3 + x * 3) + -4 = 11 + -1(x + -7)
(6 + 3x) + -4 = 11 + -1(x + -7)

Reorder the terms:
6 + -4 + 3x = 11 + -1(x + -7)

Combine like terms: 6 + -4 = 2
2 + 3x = 11 + -1(x + -7)

Reorder the terms:
2 + 3x = 11 + -1(-7 + x)
2 + 3x = 11 + (-7 * -1 + x * -1)
2 + 3x = 11 + (7 + -1x)

Combine like terms: 11 + 7 = 18
2 + 3x = 18 + -1x

Solving
2 + 3x = 18 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
2 + 3x + x = 18 + -1x + x

Combine like terms: 3x + x = 4x
2 + 4x = 18 + -1x + x

Combine like terms: -1x + x = 0
2 + 4x = 18 + 0
2 + 4x = 18

Add '-2' to each side of the equation.
2 + -2 + 4x = 18 + -2

Combine like terms: 2 + -2 = 0
0 + 4x = 18 + -2
4x = 18 + -2

Combine like terms: 18 + -2 = 16
4x = 16

Divide each side by '4'.
x = 4

Simplifying
x = 4

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