-6+4(-7x+5)=-3(4-x)-5

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Solution for -6+4(-7x+5)=-3(4-x)-5 equation: 


Simplifying
-6 + 4(-7x + 5) = -3(4 + -1x) + -5

Reorder the terms:
-6 + 4(5 + -7x) = -3(4 + -1x) + -5
-6 + (5 * 4 + -7x * 4) = -3(4 + -1x) + -5
-6 + (20 + -28x) = -3(4 + -1x) + -5

Combine like terms: -6 + 20 = 14
14 + -28x = -3(4 + -1x) + -5
14 + -28x = (4 * -3 + -1x * -3) + -5
14 + -28x = (-12 + 3x) + -5

Reorder the terms:
14 + -28x = -12 + -5 + 3x

Combine like terms: -12 + -5 = -17
14 + -28x = -17 + 3x

Solving
14 + -28x = -17 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
14 + -28x + -3x = -17 + 3x + -3x

Combine like terms: -28x + -3x = -31x
14 + -31x = -17 + 3x + -3x

Combine like terms: 3x + -3x = 0
14 + -31x = -17 + 0
14 + -31x = -17

Add '-14' to each side of the equation.
14 + -14 + -31x = -17 + -14

Combine like terms: 14 + -14 = 0
0 + -31x = -17 + -14
-31x = -17 + -14

Combine like terms: -17 + -14 = -31
-31x = -31

Divide each side by '-31'.
x = 1

Simplifying
x = 1

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