6x-30(x+12)=2(x-11)

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Solution for 6x-30(x+12)=2(x-11) equation:


Simplifying
6x + -30(x + 12) = 2(x + -11)

Reorder the terms:
6x + -30(12 + x) = 2(x + -11)
6x + (12 * -30 + x * -30) = 2(x + -11)
6x + (-360 + -30x) = 2(x + -11)

Reorder the terms:
-360 + 6x + -30x = 2(x + -11)

Combine like terms: 6x + -30x = -24x
-360 + -24x = 2(x + -11)

Reorder the terms:
-360 + -24x = 2(-11 + x)
-360 + -24x = (-11 * 2 + x * 2)
-360 + -24x = (-22 + 2x)

Solving
-360 + -24x = -22 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-360 + -24x + -2x = -22 + 2x + -2x

Combine like terms: -24x + -2x = -26x
-360 + -26x = -22 + 2x + -2x

Combine like terms: 2x + -2x = 0
-360 + -26x = -22 + 0
-360 + -26x = -22

Add '360' to each side of the equation.
-360 + 360 + -26x = -22 + 360

Combine like terms: -360 + 360 = 0
0 + -26x = -22 + 360
-26x = -22 + 360

Combine like terms: -22 + 360 = 338
-26x = 338

Divide each side by '-26'.
x = -13

Simplifying
x = -13

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