2(x+1)-(x+1)=3x-30

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Solution for 2(x+1)-(x+1)=3x-30 equation:


Simplifying
2(x + 1) + -1(x + 1) = 3x + -30

Reorder the terms:
2(1 + x) + -1(x + 1) = 3x + -30
(1 * 2 + x * 2) + -1(x + 1) = 3x + -30
(2 + 2x) + -1(x + 1) = 3x + -30

Reorder the terms:
2 + 2x + -1(1 + x) = 3x + -30
2 + 2x + (1 * -1 + x * -1) = 3x + -30
2 + 2x + (-1 + -1x) = 3x + -30

Reorder the terms:
2 + -1 + 2x + -1x = 3x + -30

Combine like terms: 2 + -1 = 1
1 + 2x + -1x = 3x + -30

Combine like terms: 2x + -1x = 1x
1 + 1x = 3x + -30

Reorder the terms:
1 + 1x = -30 + 3x

Solving
1 + 1x = -30 + 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.
1 + 1x + -3x = -30 + 3x + -3x

Combine like terms: 1x + -3x = -2x
1 + -2x = -30 + 3x + -3x

Combine like terms: 3x + -3x = 0
1 + -2x = -30 + 0
1 + -2x = -30

Add '-1' to each side of the equation.
1 + -1 + -2x = -30 + -1

Combine like terms: 1 + -1 = 0
0 + -2x = -30 + -1
-2x = -30 + -1

Combine like terms: -30 + -1 = -31
-2x = -31

Divide each side by '-2'.
x = 15.5

Simplifying
x = 15.5

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