4(x+2)=-3(-2x+7)+1

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Solution for 4(x+2)=-3(-2x+7)+1 equation: 


Simplifying
4(x + 2) = -3(-2x + 7) + 1

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

Reorder the terms:
8 + 4x = -3(7 + -2x) + 1
8 + 4x = (7 * -3 + -2x * -3) + 1
8 + 4x = (-21 + 6x) + 1

Reorder the terms:
8 + 4x = -21 + 1 + 6x

Combine like terms: -21 + 1 = -20
8 + 4x = -20 + 6x

Solving
8 + 4x = -20 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
8 + 4x + -6x = -20 + 6x + -6x

Combine like terms: 4x + -6x = -2x
8 + -2x = -20 + 6x + -6x

Combine like terms: 6x + -6x = 0
8 + -2x = -20 + 0
8 + -2x = -20

Add '-8' to each side of the equation.
8 + -8 + -2x = -20 + -8

Combine like terms: 8 + -8 = 0
0 + -2x = -20 + -8
-2x = -20 + -8

Combine like terms: -20 + -8 = -28
-2x = -28

Divide each side by '-2'.
x = 14

Simplifying
x = 14

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