2(x+1)=7+3x-10

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Solution for 2(x+1)=7+3x-10 equation: 


Simplifying
2(x + 1) = 7 + 3x + -10

Reorder the terms:
2(1 + x) = 7 + 3x + -10
(1 * 2 + x * 2) = 7 + 3x + -10
(2 + 2x) = 7 + 3x + -10

Reorder the terms:
2 + 2x = 7 + -10 + 3x

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

Solving
2 + 2x = -3 + 3x

Solving for variable 'x'.

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

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

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

Combine like terms: 3x + -3x = 0
2 + -1x = -3 + 0
2 + -1x = -3

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

Combine like terms: 2 + -2 = 0
0 + -1x = -3 + -2
-1x = -3 + -2

Combine like terms: -3 + -2 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5

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