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

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Solution for 1+3(-4x+7)=-(x-8)-4 equation: 


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

Reorder the terms:
1 + 3(7 + -4x) = -1(x + -8) + -4
1 + (7 * 3 + -4x * 3) = -1(x + -8) + -4
1 + (21 + -12x) = -1(x + -8) + -4

Combine like terms: 1 + 21 = 22
22 + -12x = -1(x + -8) + -4

Reorder the terms:
22 + -12x = -1(-8 + x) + -4
22 + -12x = (-8 * -1 + x * -1) + -4
22 + -12x = (8 + -1x) + -4

Reorder the terms:
22 + -12x = 8 + -4 + -1x

Combine like terms: 8 + -4 = 4
22 + -12x = 4 + -1x

Solving
22 + -12x = 4 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
22 + -12x + x = 4 + -1x + x

Combine like terms: -12x + x = -11x
22 + -11x = 4 + -1x + x

Combine like terms: -1x + x = 0
22 + -11x = 4 + 0
22 + -11x = 4

Add '-22' to each side of the equation.
22 + -22 + -11x = 4 + -22

Combine like terms: 22 + -22 = 0
0 + -11x = 4 + -22
-11x = 4 + -22

Combine like terms: 4 + -22 = -18
-11x = -18

Divide each side by '-11'.
x = 1.636363636

Simplifying
x = 1.636363636

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