-7(-3x+7)-7x=5(x-7)-2

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


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

Reorder the terms:
-7(7 + -3x) + -7x = 5(x + -7) + -2
(7 * -7 + -3x * -7) + -7x = 5(x + -7) + -2
(-49 + 21x) + -7x = 5(x + -7) + -2

Combine like terms: 21x + -7x = 14x
-49 + 14x = 5(x + -7) + -2

Reorder the terms:
-49 + 14x = 5(-7 + x) + -2
-49 + 14x = (-7 * 5 + x * 5) + -2
-49 + 14x = (-35 + 5x) + -2

Reorder the terms:
-49 + 14x = -35 + -2 + 5x

Combine like terms: -35 + -2 = -37
-49 + 14x = -37 + 5x

Solving
-49 + 14x = -37 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-49 + 14x + -5x = -37 + 5x + -5x

Combine like terms: 14x + -5x = 9x
-49 + 9x = -37 + 5x + -5x

Combine like terms: 5x + -5x = 0
-49 + 9x = -37 + 0
-49 + 9x = -37

Add '49' to each side of the equation.
-49 + 49 + 9x = -37 + 49

Combine like terms: -49 + 49 = 0
0 + 9x = -37 + 49
9x = -37 + 49

Combine like terms: -37 + 49 = 12
9x = 12

Divide each side by '9'.
x = 1.333333333

Simplifying
x = 1.333333333

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