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

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Solution for 2+2x=6(x+1)-5(x-2) equation:


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

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

Reorder the terms:
2 + 2x = 6 + 6x + -5(-2 + x)
2 + 2x = 6 + 6x + (-2 * -5 + x * -5)
2 + 2x = 6 + 6x + (10 + -5x)

Reorder the terms:
2 + 2x = 6 + 10 + 6x + -5x

Combine like terms: 6 + 10 = 16
2 + 2x = 16 + 6x + -5x

Combine like terms: 6x + -5x = 1x
2 + 2x = 16 + 1x

Solving
2 + 2x = 16 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
2 + 2x + -1x = 16 + 1x + -1x

Combine like terms: 2x + -1x = 1x
2 + 1x = 16 + 1x + -1x

Combine like terms: 1x + -1x = 0
2 + 1x = 16 + 0
2 + 1x = 16

Add '-2' to each side of the equation.
2 + -2 + 1x = 16 + -2

Combine like terms: 2 + -2 = 0
0 + 1x = 16 + -2
1x = 16 + -2

Combine like terms: 16 + -2 = 14
1x = 14

Divide each side by '1'.
x = 14

Simplifying
x = 14

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