2(x+1)-7=3x-21

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Solution for 2(x+1)-7=3x-21 equation:


Simplifying
2(x + 1) + -7 = 3x + -21

Reorder the terms:
2(1 + x) + -7 = 3x + -21
(1 * 2 + x * 2) + -7 = 3x + -21
(2 + 2x) + -7 = 3x + -21

Reorder the terms:
2 + -7 + 2x = 3x + -21

Combine like terms: 2 + -7 = -5
-5 + 2x = 3x + -21

Reorder the terms:
-5 + 2x = -21 + 3x

Solving
-5 + 2x = -21 + 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.
-5 + 2x + -3x = -21 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-5 + -1x = -21 + 3x + -3x

Combine like terms: 3x + -3x = 0
-5 + -1x = -21 + 0
-5 + -1x = -21

Add '5' to each side of the equation.
-5 + 5 + -1x = -21 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = -21 + 5
-1x = -21 + 5

Combine like terms: -21 + 5 = -16
-1x = -16

Divide each side by '-1'.
x = 16

Simplifying
x = 16

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