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

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


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

Reorder the terms:
4(2 + x) + 2 = 5(x + -2) + 3
(2 * 4 + x * 4) + 2 = 5(x + -2) + 3
(8 + 4x) + 2 = 5(x + -2) + 3

Reorder the terms:
8 + 2 + 4x = 5(x + -2) + 3

Combine like terms: 8 + 2 = 10
10 + 4x = 5(x + -2) + 3

Reorder the terms:
10 + 4x = 5(-2 + x) + 3
10 + 4x = (-2 * 5 + x * 5) + 3
10 + 4x = (-10 + 5x) + 3

Reorder the terms:
10 + 4x = -10 + 3 + 5x

Combine like terms: -10 + 3 = -7
10 + 4x = -7 + 5x

Solving
10 + 4x = -7 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
10 + 4x + -5x = -7 + 5x + -5x

Combine like terms: 4x + -5x = -1x
10 + -1x = -7 + 5x + -5x

Combine like terms: 5x + -5x = 0
10 + -1x = -7 + 0
10 + -1x = -7

Add '-10' to each side of the equation.
10 + -10 + -1x = -7 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = -7 + -10
-1x = -7 + -10

Combine like terms: -7 + -10 = -17
-1x = -17

Divide each side by '-1'.
x = 17

Simplifying
x = 17

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