10(2x+4)-13=(x+7)-3

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Solution for 10(2x+4)-13=(x+7)-3 equation:


Simplifying
10(2x + 4) + -13 = (x + 7) + -3

Reorder the terms:
10(4 + 2x) + -13 = (x + 7) + -3
(4 * 10 + 2x * 10) + -13 = (x + 7) + -3
(40 + 20x) + -13 = (x + 7) + -3

Reorder the terms:
40 + -13 + 20x = (x + 7) + -3

Combine like terms: 40 + -13 = 27
27 + 20x = (x + 7) + -3

Reorder the terms:
27 + 20x = (7 + x) + -3

Remove parenthesis around (7 + x)
27 + 20x = 7 + x + -3

Reorder the terms:
27 + 20x = 7 + -3 + x

Combine like terms: 7 + -3 = 4
27 + 20x = 4 + x

Solving
27 + 20x = 4 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
27 + 20x + -1x = 4 + x + -1x

Combine like terms: 20x + -1x = 19x
27 + 19x = 4 + x + -1x

Combine like terms: x + -1x = 0
27 + 19x = 4 + 0
27 + 19x = 4

Add '-27' to each side of the equation.
27 + -27 + 19x = 4 + -27

Combine like terms: 27 + -27 = 0
0 + 19x = 4 + -27
19x = 4 + -27

Combine like terms: 4 + -27 = -23
19x = -23

Divide each side by '19'.
x = -1.210526316

Simplifying
x = -1.210526316

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