750+22(x-12)=650+30(x-10)

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Solution for 750+22(x-12)=650+30(x-10) equation: 


Simplifying
750 + 22(x + -12) = 650 + 30(x + -10)

Reorder the terms:
750 + 22(-12 + x) = 650 + 30(x + -10)
750 + (-12 * 22 + x * 22) = 650 + 30(x + -10)
750 + (-264 + 22x) = 650 + 30(x + -10)

Combine like terms: 750 + -264 = 486
486 + 22x = 650 + 30(x + -10)

Reorder the terms:
486 + 22x = 650 + 30(-10 + x)
486 + 22x = 650 + (-10 * 30 + x * 30)
486 + 22x = 650 + (-300 + 30x)

Combine like terms: 650 + -300 = 350
486 + 22x = 350 + 30x

Solving
486 + 22x = 350 + 30x

Solving for variable 'x'.

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

Add '-30x' to each side of the equation.
486 + 22x + -30x = 350 + 30x + -30x

Combine like terms: 22x + -30x = -8x
486 + -8x = 350 + 30x + -30x

Combine like terms: 30x + -30x = 0
486 + -8x = 350 + 0
486 + -8x = 350

Add '-486' to each side of the equation.
486 + -486 + -8x = 350 + -486

Combine like terms: 486 + -486 = 0
0 + -8x = 350 + -486
-8x = 350 + -486

Combine like terms: 350 + -486 = -136
-8x = -136

Divide each side by '-8'.
x = 17

Simplifying
x = 17

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