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

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


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

Reorder the terms:
4(3 + -2x) = 1 + -1(4x + 3)
(3 * 4 + -2x * 4) = 1 + -1(4x + 3)
(12 + -8x) = 1 + -1(4x + 3)

Reorder the terms:
12 + -8x = 1 + -1(3 + 4x)
12 + -8x = 1 + (3 * -1 + 4x * -1)
12 + -8x = 1 + (-3 + -4x)

Combine like terms: 1 + -3 = -2
12 + -8x = -2 + -4x

Solving
12 + -8x = -2 + -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.
12 + -8x + 4x = -2 + -4x + 4x

Combine like terms: -8x + 4x = -4x
12 + -4x = -2 + -4x + 4x

Combine like terms: -4x + 4x = 0
12 + -4x = -2 + 0
12 + -4x = -2

Add '-12' to each side of the equation.
12 + -12 + -4x = -2 + -12

Combine like terms: 12 + -12 = 0
0 + -4x = -2 + -12
-4x = -2 + -12

Combine like terms: -2 + -12 = -14
-4x = -14

Divide each side by '-4'.
x = 3.5

Simplifying
x = 3.5

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