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

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


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

Reorder the terms:
4(5 + 3x) + 2 = 4(x + 2) + -3
(5 * 4 + 3x * 4) + 2 = 4(x + 2) + -3
(20 + 12x) + 2 = 4(x + 2) + -3

Reorder the terms:
20 + 2 + 12x = 4(x + 2) + -3

Combine like terms: 20 + 2 = 22
22 + 12x = 4(x + 2) + -3

Reorder the terms:
22 + 12x = 4(2 + x) + -3
22 + 12x = (2 * 4 + x * 4) + -3
22 + 12x = (8 + 4x) + -3

Reorder the terms:
22 + 12x = 8 + -3 + 4x

Combine like terms: 8 + -3 = 5
22 + 12x = 5 + 4x

Solving
22 + 12x = 5 + 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.
22 + 12x + -4x = 5 + 4x + -4x

Combine like terms: 12x + -4x = 8x
22 + 8x = 5 + 4x + -4x

Combine like terms: 4x + -4x = 0
22 + 8x = 5 + 0
22 + 8x = 5

Add '-22' to each side of the equation.
22 + -22 + 8x = 5 + -22

Combine like terms: 22 + -22 = 0
0 + 8x = 5 + -22
8x = 5 + -22

Combine like terms: 5 + -22 = -17
8x = -17

Divide each side by '8'.
x = -2.125

Simplifying
x = -2.125

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