7(3x-2)-5x=7x-8-2x

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Solution for 7(3x-2)-5x=7x-8-2x equation:


Simplifying
7(3x + -2) + -5x = 7x + -8 + -2x

Reorder the terms:
7(-2 + 3x) + -5x = 7x + -8 + -2x
(-2 * 7 + 3x * 7) + -5x = 7x + -8 + -2x
(-14 + 21x) + -5x = 7x + -8 + -2x

Combine like terms: 21x + -5x = 16x
-14 + 16x = 7x + -8 + -2x

Reorder the terms:
-14 + 16x = -8 + 7x + -2x

Combine like terms: 7x + -2x = 5x
-14 + 16x = -8 + 5x

Solving
-14 + 16x = -8 + 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.
-14 + 16x + -5x = -8 + 5x + -5x

Combine like terms: 16x + -5x = 11x
-14 + 11x = -8 + 5x + -5x

Combine like terms: 5x + -5x = 0
-14 + 11x = -8 + 0
-14 + 11x = -8

Add '14' to each side of the equation.
-14 + 14 + 11x = -8 + 14

Combine like terms: -14 + 14 = 0
0 + 11x = -8 + 14
11x = -8 + 14

Combine like terms: -8 + 14 = 6
11x = 6

Divide each side by '11'.
x = 0.5454545455

Simplifying
x = 0.5454545455

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