6(x-80)-(x+60)=30-5(x-30)

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Solution for 6(x-80)-(x+60)=30-5(x-30) equation:


Simplifying
6(x + -80) + -1(x + 60) = 30 + -5(x + -30)

Reorder the terms:
6(-80 + x) + -1(x + 60) = 30 + -5(x + -30)
(-80 * 6 + x * 6) + -1(x + 60) = 30 + -5(x + -30)
(-480 + 6x) + -1(x + 60) = 30 + -5(x + -30)

Reorder the terms:
-480 + 6x + -1(60 + x) = 30 + -5(x + -30)
-480 + 6x + (60 * -1 + x * -1) = 30 + -5(x + -30)
-480 + 6x + (-60 + -1x) = 30 + -5(x + -30)

Reorder the terms:
-480 + -60 + 6x + -1x = 30 + -5(x + -30)

Combine like terms: -480 + -60 = -540
-540 + 6x + -1x = 30 + -5(x + -30)

Combine like terms: 6x + -1x = 5x
-540 + 5x = 30 + -5(x + -30)

Reorder the terms:
-540 + 5x = 30 + -5(-30 + x)
-540 + 5x = 30 + (-30 * -5 + x * -5)
-540 + 5x = 30 + (150 + -5x)

Combine like terms: 30 + 150 = 180
-540 + 5x = 180 + -5x

Solving
-540 + 5x = 180 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-540 + 5x + 5x = 180 + -5x + 5x

Combine like terms: 5x + 5x = 10x
-540 + 10x = 180 + -5x + 5x

Combine like terms: -5x + 5x = 0
-540 + 10x = 180 + 0
-540 + 10x = 180

Add '540' to each side of the equation.
-540 + 540 + 10x = 180 + 540

Combine like terms: -540 + 540 = 0
0 + 10x = 180 + 540
10x = 180 + 540

Combine like terms: 180 + 540 = 720
10x = 720

Divide each side by '10'.
x = 72

Simplifying
x = 72

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