6+2(-4x+7)=-3(8x-3)-7

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Solution for 6+2(-4x+7)=-3(8x-3)-7 equation: 


Simplifying
6 + 2(-4x + 7) = -3(8x + -3) + -7

Reorder the terms:
6 + 2(7 + -4x) = -3(8x + -3) + -7
6 + (7 * 2 + -4x * 2) = -3(8x + -3) + -7
6 + (14 + -8x) = -3(8x + -3) + -7

Combine like terms: 6 + 14 = 20
20 + -8x = -3(8x + -3) + -7

Reorder the terms:
20 + -8x = -3(-3 + 8x) + -7
20 + -8x = (-3 * -3 + 8x * -3) + -7
20 + -8x = (9 + -24x) + -7

Reorder the terms:
20 + -8x = 9 + -7 + -24x

Combine like terms: 9 + -7 = 2
20 + -8x = 2 + -24x

Solving
20 + -8x = 2 + -24x

Solving for variable 'x'.

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

Add '24x' to each side of the equation.
20 + -8x + 24x = 2 + -24x + 24x

Combine like terms: -8x + 24x = 16x
20 + 16x = 2 + -24x + 24x

Combine like terms: -24x + 24x = 0
20 + 16x = 2 + 0
20 + 16x = 2

Add '-20' to each side of the equation.
20 + -20 + 16x = 2 + -20

Combine like terms: 20 + -20 = 0
0 + 16x = 2 + -20
16x = 2 + -20

Combine like terms: 2 + -20 = -18
16x = -18

Divide each side by '16'.
x = -1.125

Simplifying
x = -1.125

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