8(2x-7)-5(x+3)=60-(x+7)2

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Solution for 8(2x-7)-5(x+3)=60-(x+7)2 equation:


Simplifying
8(2x + -7) + -5(x + 3) = 60 + -1(x + 7) * 2

Reorder the terms:
8(-7 + 2x) + -5(x + 3) = 60 + -1(x + 7) * 2
(-7 * 8 + 2x * 8) + -5(x + 3) = 60 + -1(x + 7) * 2
(-56 + 16x) + -5(x + 3) = 60 + -1(x + 7) * 2

Reorder the terms:
-56 + 16x + -5(3 + x) = 60 + -1(x + 7) * 2
-56 + 16x + (3 * -5 + x * -5) = 60 + -1(x + 7) * 2
-56 + 16x + (-15 + -5x) = 60 + -1(x + 7) * 2

Reorder the terms:
-56 + -15 + 16x + -5x = 60 + -1(x + 7) * 2

Combine like terms: -56 + -15 = -71
-71 + 16x + -5x = 60 + -1(x + 7) * 2

Combine like terms: 16x + -5x = 11x
-71 + 11x = 60 + -1(x + 7) * 2

Reorder the terms:
-71 + 11x = 60 + -1(7 + x) * 2

Reorder the terms for easier multiplication:
-71 + 11x = 60 + -1 * 2(7 + x)

Multiply -1 * 2
-71 + 11x = 60 + -2(7 + x)
-71 + 11x = 60 + (7 * -2 + x * -2)
-71 + 11x = 60 + (-14 + -2x)

Combine like terms: 60 + -14 = 46
-71 + 11x = 46 + -2x

Solving
-71 + 11x = 46 + -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.
-71 + 11x + 2x = 46 + -2x + 2x

Combine like terms: 11x + 2x = 13x
-71 + 13x = 46 + -2x + 2x

Combine like terms: -2x + 2x = 0
-71 + 13x = 46 + 0
-71 + 13x = 46

Add '71' to each side of the equation.
-71 + 71 + 13x = 46 + 71

Combine like terms: -71 + 71 = 0
0 + 13x = 46 + 71
13x = 46 + 71

Combine like terms: 46 + 71 = 117
13x = 117

Divide each side by '13'.
x = 9

Simplifying
x = 9

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