-6(3x-7)=-2-4(4x-7)

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Solution for -6(3x-7)=-2-4(4x-7) equation:


Simplifying
-6(3x + -7) = -2 + -4(4x + -7)

Reorder the terms:
-6(-7 + 3x) = -2 + -4(4x + -7)
(-7 * -6 + 3x * -6) = -2 + -4(4x + -7)
(42 + -18x) = -2 + -4(4x + -7)

Reorder the terms:
42 + -18x = -2 + -4(-7 + 4x)
42 + -18x = -2 + (-7 * -4 + 4x * -4)
42 + -18x = -2 + (28 + -16x)

Combine like terms: -2 + 28 = 26
42 + -18x = 26 + -16x

Solving
42 + -18x = 26 + -16x

Solving for variable 'x'.

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

Add '16x' to each side of the equation.
42 + -18x + 16x = 26 + -16x + 16x

Combine like terms: -18x + 16x = -2x
42 + -2x = 26 + -16x + 16x

Combine like terms: -16x + 16x = 0
42 + -2x = 26 + 0
42 + -2x = 26

Add '-42' to each side of the equation.
42 + -42 + -2x = 26 + -42

Combine like terms: 42 + -42 = 0
0 + -2x = 26 + -42
-2x = 26 + -42

Combine like terms: 26 + -42 = -16
-2x = -16

Divide each side by '-2'.
x = 8

Simplifying
x = 8

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