2(x+1)-5x=3-2(x+5)

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Solution for 2(x+1)-5x=3-2(x+5) equation: 


Simplifying
2(x + 1) + -5x = 3 + -2(x + 5)

Reorder the terms:
2(1 + x) + -5x = 3 + -2(x + 5)
(1 * 2 + x * 2) + -5x = 3 + -2(x + 5)
(2 + 2x) + -5x = 3 + -2(x + 5)

Combine like terms: 2x + -5x = -3x
2 + -3x = 3 + -2(x + 5)

Reorder the terms:
2 + -3x = 3 + -2(5 + x)
2 + -3x = 3 + (5 * -2 + x * -2)
2 + -3x = 3 + (-10 + -2x)

Combine like terms: 3 + -10 = -7
2 + -3x = -7 + -2x

Solving
2 + -3x = -7 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
2 + -3x + 2x = -7 + -2x + 2x

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

Combine like terms: -2x + 2x = 0
2 + -1x = -7 + 0
2 + -1x = -7

Add '-2' to each side of the equation.
2 + -2 + -1x = -7 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = -7 + -2
-1x = -7 + -2

Combine like terms: -7 + -2 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9

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