-6*(2x-30)+5*(x-10)=200

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Solution for -6*(2x-30)+5*(x-10)=200 equation:


Simplifying
-6(2x + -30) + 5(x + -10) = 200

Reorder the terms:
-6(-30 + 2x) + 5(x + -10) = 200
(-30 * -6 + 2x * -6) + 5(x + -10) = 200
(180 + -12x) + 5(x + -10) = 200

Reorder the terms:
180 + -12x + 5(-10 + x) = 200
180 + -12x + (-10 * 5 + x * 5) = 200
180 + -12x + (-50 + 5x) = 200

Reorder the terms:
180 + -50 + -12x + 5x = 200

Combine like terms: 180 + -50 = 130
130 + -12x + 5x = 200

Combine like terms: -12x + 5x = -7x
130 + -7x = 200

Solving
130 + -7x = 200

Solving for variable 'x'.

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

Add '-130' to each side of the equation.
130 + -130 + -7x = 200 + -130

Combine like terms: 130 + -130 = 0
0 + -7x = 200 + -130
-7x = 200 + -130

Combine like terms: 200 + -130 = 70
-7x = 70

Divide each side by '-7'.
x = -10

Simplifying
x = -10

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