(5x+15)-(8x+40)=x-65

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Solution for (5x+15)-(8x+40)=x-65 equation:


Simplifying
(5x + 15) + -1(8x + 40) = x + -65

Reorder the terms:
(15 + 5x) + -1(8x + 40) = x + -65

Remove parenthesis around (15 + 5x)
15 + 5x + -1(8x + 40) = x + -65

Reorder the terms:
15 + 5x + -1(40 + 8x) = x + -65
15 + 5x + (40 * -1 + 8x * -1) = x + -65
15 + 5x + (-40 + -8x) = x + -65

Reorder the terms:
15 + -40 + 5x + -8x = x + -65

Combine like terms: 15 + -40 = -25
-25 + 5x + -8x = x + -65

Combine like terms: 5x + -8x = -3x
-25 + -3x = x + -65

Reorder the terms:
-25 + -3x = -65 + x

Solving
-25 + -3x = -65 + 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.
-25 + -3x + -1x = -65 + x + -1x

Combine like terms: -3x + -1x = -4x
-25 + -4x = -65 + x + -1x

Combine like terms: x + -1x = 0
-25 + -4x = -65 + 0
-25 + -4x = -65

Add '25' to each side of the equation.
-25 + 25 + -4x = -65 + 25

Combine like terms: -25 + 25 = 0
0 + -4x = -65 + 25
-4x = -65 + 25

Combine like terms: -65 + 25 = -40
-4x = -40

Divide each side by '-4'.
x = 10

Simplifying
x = 10

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