2(x+2)+7=3(x+1)+8

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Solution for 2(x+2)+7=3(x+1)+8 equation:


Simplifying
2(x + 2) + 7 = 3(x + 1) + 8

Reorder the terms:
2(2 + x) + 7 = 3(x + 1) + 8
(2 * 2 + x * 2) + 7 = 3(x + 1) + 8
(4 + 2x) + 7 = 3(x + 1) + 8

Reorder the terms:
4 + 7 + 2x = 3(x + 1) + 8

Combine like terms: 4 + 7 = 11
11 + 2x = 3(x + 1) + 8

Reorder the terms:
11 + 2x = 3(1 + x) + 8
11 + 2x = (1 * 3 + x * 3) + 8
11 + 2x = (3 + 3x) + 8

Reorder the terms:
11 + 2x = 3 + 8 + 3x

Combine like terms: 3 + 8 = 11
11 + 2x = 11 + 3x

Add '-11' to each side of the equation.
11 + -11 + 2x = 11 + -11 + 3x

Combine like terms: 11 + -11 = 0
0 + 2x = 11 + -11 + 3x
2x = 11 + -11 + 3x

Combine like terms: 11 + -11 = 0
2x = 0 + 3x
2x = 3x

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

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

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

Divide each side by '-1'.
x = 0

Simplifying
x = 0

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