11-2(7x+2)=-5(8-5x)

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Solution for 11-2(7x+2)=-5(8-5x) equation:


Simplifying
11 + -2(7x + 2) = -5(8 + -5x)

Reorder the terms:
11 + -2(2 + 7x) = -5(8 + -5x)
11 + (2 * -2 + 7x * -2) = -5(8 + -5x)
11 + (-4 + -14x) = -5(8 + -5x)

Combine like terms: 11 + -4 = 7
7 + -14x = -5(8 + -5x)
7 + -14x = (8 * -5 + -5x * -5)
7 + -14x = (-40 + 25x)

Solving
7 + -14x = -40 + 25x

Solving for variable 'x'.

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

Add '-25x' to each side of the equation.
7 + -14x + -25x = -40 + 25x + -25x

Combine like terms: -14x + -25x = -39x
7 + -39x = -40 + 25x + -25x

Combine like terms: 25x + -25x = 0
7 + -39x = -40 + 0
7 + -39x = -40

Add '-7' to each side of the equation.
7 + -7 + -39x = -40 + -7

Combine like terms: 7 + -7 = 0
0 + -39x = -40 + -7
-39x = -40 + -7

Combine like terms: -40 + -7 = -47
-39x = -47

Divide each side by '-39'.
x = 1.205128205

Simplifying
x = 1.205128205

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