-3(4x-1)-4x=5-2(x-7)

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Solution for -3(4x-1)-4x=5-2(x-7) equation:


Simplifying
-3(4x + -1) + -4x = 5 + -2(x + -7)

Reorder the terms:
-3(-1 + 4x) + -4x = 5 + -2(x + -7)
(-1 * -3 + 4x * -3) + -4x = 5 + -2(x + -7)
(3 + -12x) + -4x = 5 + -2(x + -7)

Combine like terms: -12x + -4x = -16x
3 + -16x = 5 + -2(x + -7)

Reorder the terms:
3 + -16x = 5 + -2(-7 + x)
3 + -16x = 5 + (-7 * -2 + x * -2)
3 + -16x = 5 + (14 + -2x)

Combine like terms: 5 + 14 = 19
3 + -16x = 19 + -2x

Solving
3 + -16x = 19 + -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.
3 + -16x + 2x = 19 + -2x + 2x

Combine like terms: -16x + 2x = -14x
3 + -14x = 19 + -2x + 2x

Combine like terms: -2x + 2x = 0
3 + -14x = 19 + 0
3 + -14x = 19

Add '-3' to each side of the equation.
3 + -3 + -14x = 19 + -3

Combine like terms: 3 + -3 = 0
0 + -14x = 19 + -3
-14x = 19 + -3

Combine like terms: 19 + -3 = 16
-14x = 16

Divide each side by '-14'.
x = -1.142857143

Simplifying
x = -1.142857143

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