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

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


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

Reorder the terms:
6(7 + 3x) = -4(-5x + -7)
(7 * 6 + 3x * 6) = -4(-5x + -7)
(42 + 18x) = -4(-5x + -7)

Reorder the terms:
42 + 18x = -4(-7 + -5x)
42 + 18x = (-7 * -4 + -5x * -4)
42 + 18x = (28 + 20x)

Solving
42 + 18x = 28 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
42 + 18x + -20x = 28 + 20x + -20x

Combine like terms: 18x + -20x = -2x
42 + -2x = 28 + 20x + -20x

Combine like terms: 20x + -20x = 0
42 + -2x = 28 + 0
42 + -2x = 28

Add '-42' to each side of the equation.
42 + -42 + -2x = 28 + -42

Combine like terms: 42 + -42 = 0
0 + -2x = 28 + -42
-2x = 28 + -42

Combine like terms: 28 + -42 = -14
-2x = -14

Divide each side by '-2'.
x = 7

Simplifying
x = 7

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