3(x+2)+2=4(x+3)-5

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Solution for 3(x+2)+2=4(x+3)-5 equation: 


Simplifying
3(x + 2) + 2 = 4(x + 3) + -5

Reorder the terms:
3(2 + x) + 2 = 4(x + 3) + -5
(2 * 3 + x * 3) + 2 = 4(x + 3) + -5
(6 + 3x) + 2 = 4(x + 3) + -5

Reorder the terms:
6 + 2 + 3x = 4(x + 3) + -5

Combine like terms: 6 + 2 = 8
8 + 3x = 4(x + 3) + -5

Reorder the terms:
8 + 3x = 4(3 + x) + -5
8 + 3x = (3 * 4 + x * 4) + -5
8 + 3x = (12 + 4x) + -5

Reorder the terms:
8 + 3x = 12 + -5 + 4x

Combine like terms: 12 + -5 = 7
8 + 3x = 7 + 4x

Solving
8 + 3x = 7 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
8 + 3x + -4x = 7 + 4x + -4x

Combine like terms: 3x + -4x = -1x
8 + -1x = 7 + 4x + -4x

Combine like terms: 4x + -4x = 0
8 + -1x = 7 + 0
8 + -1x = 7

Add '-8' to each side of the equation.
8 + -8 + -1x = 7 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 7 + -8
-1x = 7 + -8

Combine like terms: 7 + -8 = -1
-1x = -1

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

Simplifying
x = 1

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