5-(4x-1)=-2(x-7)-10

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Solution for 5-(4x-1)=-2(x-7)-10 equation: 


Simplifying
5 + -1(4x + -1) = -2(x + -7) + -10

Reorder the terms:
5 + -1(-1 + 4x) = -2(x + -7) + -10
5 + (-1 * -1 + 4x * -1) = -2(x + -7) + -10
5 + (1 + -4x) = -2(x + -7) + -10

Combine like terms: 5 + 1 = 6
6 + -4x = -2(x + -7) + -10

Reorder the terms:
6 + -4x = -2(-7 + x) + -10
6 + -4x = (-7 * -2 + x * -2) + -10
6 + -4x = (14 + -2x) + -10

Reorder the terms:
6 + -4x = 14 + -10 + -2x

Combine like terms: 14 + -10 = 4
6 + -4x = 4 + -2x

Solving
6 + -4x = 4 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
6 + -4x + 2x = 4 + -2x + 2x

Combine like terms: -4x + 2x = -2x
6 + -2x = 4 + -2x + 2x

Combine like terms: -2x + 2x = 0
6 + -2x = 4 + 0
6 + -2x = 4

Add '-6' to each side of the equation.
6 + -6 + -2x = 4 + -6

Combine like terms: 6 + -6 = 0
0 + -2x = 4 + -6
-2x = 4 + -6

Combine like terms: 4 + -6 = -2
-2x = -2

Divide each side by '-2'.
x = 1

Simplifying
x = 1

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