4(x-4)-2=-5(-4x+6)-x

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Solution for 4(x-4)-2=-5(-4x+6)-x equation:


Simplifying
4(x + -4) + -2 = -5(-4x + 6) + -1x

Reorder the terms:
4(-4 + x) + -2 = -5(-4x + 6) + -1x
(-4 * 4 + x * 4) + -2 = -5(-4x + 6) + -1x
(-16 + 4x) + -2 = -5(-4x + 6) + -1x

Reorder the terms:
-16 + -2 + 4x = -5(-4x + 6) + -1x

Combine like terms: -16 + -2 = -18
-18 + 4x = -5(-4x + 6) + -1x

Reorder the terms:
-18 + 4x = -5(6 + -4x) + -1x
-18 + 4x = (6 * -5 + -4x * -5) + -1x
-18 + 4x = (-30 + 20x) + -1x

Combine like terms: 20x + -1x = 19x
-18 + 4x = -30 + 19x

Solving
-18 + 4x = -30 + 19x

Solving for variable 'x'.

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

Add '-19x' to each side of the equation.
-18 + 4x + -19x = -30 + 19x + -19x

Combine like terms: 4x + -19x = -15x
-18 + -15x = -30 + 19x + -19x

Combine like terms: 19x + -19x = 0
-18 + -15x = -30 + 0
-18 + -15x = -30

Add '18' to each side of the equation.
-18 + 18 + -15x = -30 + 18

Combine like terms: -18 + 18 = 0
0 + -15x = -30 + 18
-15x = -30 + 18

Combine like terms: -30 + 18 = -12
-15x = -12

Divide each side by '-15'.
x = 0.8

Simplifying
x = 0.8

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