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

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


Simplifying
-5(2x + -7) + -1x = 2(x + 2)

Reorder the terms:
-5(-7 + 2x) + -1x = 2(x + 2)
(-7 * -5 + 2x * -5) + -1x = 2(x + 2)
(35 + -10x) + -1x = 2(x + 2)

Combine like terms: -10x + -1x = -11x
35 + -11x = 2(x + 2)

Reorder the terms:
35 + -11x = 2(2 + x)
35 + -11x = (2 * 2 + x * 2)
35 + -11x = (4 + 2x)

Solving
35 + -11x = 4 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
35 + -11x + -2x = 4 + 2x + -2x

Combine like terms: -11x + -2x = -13x
35 + -13x = 4 + 2x + -2x

Combine like terms: 2x + -2x = 0
35 + -13x = 4 + 0
35 + -13x = 4

Add '-35' to each side of the equation.
35 + -35 + -13x = 4 + -35

Combine like terms: 35 + -35 = 0
0 + -13x = 4 + -35
-13x = 4 + -35

Combine like terms: 4 + -35 = -31
-13x = -31

Divide each side by '-13'.
x = 2.384615385

Simplifying
x = 2.384615385

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