x-25=2(x-30)-3(x-45)

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Solution for x-25=2(x-30)-3(x-45) equation: 


Simplifying
x + -25 = 2(x + -30) + -3(x + -45)

Reorder the terms:
-25 + x = 2(x + -30) + -3(x + -45)

Reorder the terms:
-25 + x = 2(-30 + x) + -3(x + -45)
-25 + x = (-30 * 2 + x * 2) + -3(x + -45)
-25 + x = (-60 + 2x) + -3(x + -45)

Reorder the terms:
-25 + x = -60 + 2x + -3(-45 + x)
-25 + x = -60 + 2x + (-45 * -3 + x * -3)
-25 + x = -60 + 2x + (135 + -3x)

Reorder the terms:
-25 + x = -60 + 135 + 2x + -3x

Combine like terms: -60 + 135 = 75
-25 + x = 75 + 2x + -3x

Combine like terms: 2x + -3x = -1x
-25 + x = 75 + -1x

Solving
-25 + x = 75 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-25 + x + x = 75 + -1x + x

Combine like terms: x + x = 2x
-25 + 2x = 75 + -1x + x

Combine like terms: -1x + x = 0
-25 + 2x = 75 + 0
-25 + 2x = 75

Add '25' to each side of the equation.
-25 + 25 + 2x = 75 + 25

Combine like terms: -25 + 25 = 0
0 + 2x = 75 + 25
2x = 75 + 25

Combine like terms: 75 + 25 = 100
2x = 100

Divide each side by '2'.
x = 50

Simplifying
x = 50

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