5(x+1)-2(x+3)+5(x-9)=2(x-7)+25

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Solution for 5(x+1)-2(x+3)+5(x-9)=2(x-7)+25 equation:


Simplifying
5(x + 1) + -2(x + 3) + 5(x + -9) = 2(x + -7) + 25

Reorder the terms:
5(1 + x) + -2(x + 3) + 5(x + -9) = 2(x + -7) + 25
(1 * 5 + x * 5) + -2(x + 3) + 5(x + -9) = 2(x + -7) + 25
(5 + 5x) + -2(x + 3) + 5(x + -9) = 2(x + -7) + 25

Reorder the terms:
5 + 5x + -2(3 + x) + 5(x + -9) = 2(x + -7) + 25
5 + 5x + (3 * -2 + x * -2) + 5(x + -9) = 2(x + -7) + 25
5 + 5x + (-6 + -2x) + 5(x + -9) = 2(x + -7) + 25

Reorder the terms:
5 + 5x + -6 + -2x + 5(-9 + x) = 2(x + -7) + 25
5 + 5x + -6 + -2x + (-9 * 5 + x * 5) = 2(x + -7) + 25
5 + 5x + -6 + -2x + (-45 + 5x) = 2(x + -7) + 25

Reorder the terms:
5 + -6 + -45 + 5x + -2x + 5x = 2(x + -7) + 25

Combine like terms: 5 + -6 = -1
-1 + -45 + 5x + -2x + 5x = 2(x + -7) + 25

Combine like terms: -1 + -45 = -46
-46 + 5x + -2x + 5x = 2(x + -7) + 25

Combine like terms: 5x + -2x = 3x
-46 + 3x + 5x = 2(x + -7) + 25

Combine like terms: 3x + 5x = 8x
-46 + 8x = 2(x + -7) + 25

Reorder the terms:
-46 + 8x = 2(-7 + x) + 25
-46 + 8x = (-7 * 2 + x * 2) + 25
-46 + 8x = (-14 + 2x) + 25

Reorder the terms:
-46 + 8x = -14 + 25 + 2x

Combine like terms: -14 + 25 = 11
-46 + 8x = 11 + 2x

Solving
-46 + 8x = 11 + 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.
-46 + 8x + -2x = 11 + 2x + -2x

Combine like terms: 8x + -2x = 6x
-46 + 6x = 11 + 2x + -2x

Combine like terms: 2x + -2x = 0
-46 + 6x = 11 + 0
-46 + 6x = 11

Add '46' to each side of the equation.
-46 + 46 + 6x = 11 + 46

Combine like terms: -46 + 46 = 0
0 + 6x = 11 + 46
6x = 11 + 46

Combine like terms: 11 + 46 = 57
6x = 57

Divide each side by '6'.
x = 9.5

Simplifying
x = 9.5

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