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

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


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

Reorder the terms:
2 + 2x = 4(2 + x) + -3(x + -3)
2 + 2x = (2 * 4 + x * 4) + -3(x + -3)
2 + 2x = (8 + 4x) + -3(x + -3)

Reorder the terms:
2 + 2x = 8 + 4x + -3(-3 + x)
2 + 2x = 8 + 4x + (-3 * -3 + x * -3)
2 + 2x = 8 + 4x + (9 + -3x)

Reorder the terms:
2 + 2x = 8 + 9 + 4x + -3x

Combine like terms: 8 + 9 = 17
2 + 2x = 17 + 4x + -3x

Combine like terms: 4x + -3x = 1x
2 + 2x = 17 + 1x

Solving
2 + 2x = 17 + 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 = 17 + 1x + -1x

Combine like terms: 2x + -1x = 1x
2 + 1x = 17 + 1x + -1x

Combine like terms: 1x + -1x = 0
2 + 1x = 17 + 0
2 + 1x = 17

Add '-2' to each side of the equation.
2 + -2 + 1x = 17 + -2

Combine like terms: 2 + -2 = 0
0 + 1x = 17 + -2
1x = 17 + -2

Combine like terms: 17 + -2 = 15
1x = 15

Divide each side by '1'.
x = 15

Simplifying
x = 15

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