-4(3x-5)=3-(8x+7)

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Solution for -4(3x-5)=3-(8x+7) equation:


Simplifying
-4(3x + -5) = 3 + -1(8x + 7)

Reorder the terms:
-4(-5 + 3x) = 3 + -1(8x + 7)
(-5 * -4 + 3x * -4) = 3 + -1(8x + 7)
(20 + -12x) = 3 + -1(8x + 7)

Reorder the terms:
20 + -12x = 3 + -1(7 + 8x)
20 + -12x = 3 + (7 * -1 + 8x * -1)
20 + -12x = 3 + (-7 + -8x)

Combine like terms: 3 + -7 = -4
20 + -12x = -4 + -8x

Solving
20 + -12x = -4 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
20 + -12x + 8x = -4 + -8x + 8x

Combine like terms: -12x + 8x = -4x
20 + -4x = -4 + -8x + 8x

Combine like terms: -8x + 8x = 0
20 + -4x = -4 + 0
20 + -4x = -4

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

Combine like terms: 20 + -20 = 0
0 + -4x = -4 + -20
-4x = -4 + -20

Combine like terms: -4 + -20 = -24
-4x = -24

Divide each side by '-4'.
x = 6

Simplifying
x = 6

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