-3x-2(4x-5)=-6x+30

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Solution for -3x-2(4x-5)=-6x+30 equation:


Simplifying
-3x + -2(4x + -5) = -6x + 30

Reorder the terms:
-3x + -2(-5 + 4x) = -6x + 30
-3x + (-5 * -2 + 4x * -2) = -6x + 30
-3x + (10 + -8x) = -6x + 30

Reorder the terms:
10 + -3x + -8x = -6x + 30

Combine like terms: -3x + -8x = -11x
10 + -11x = -6x + 30

Reorder the terms:
10 + -11x = 30 + -6x

Solving
10 + -11x = 30 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
10 + -11x + 6x = 30 + -6x + 6x

Combine like terms: -11x + 6x = -5x
10 + -5x = 30 + -6x + 6x

Combine like terms: -6x + 6x = 0
10 + -5x = 30 + 0
10 + -5x = 30

Add '-10' to each side of the equation.
10 + -10 + -5x = 30 + -10

Combine like terms: 10 + -10 = 0
0 + -5x = 30 + -10
-5x = 30 + -10

Combine like terms: 30 + -10 = 20
-5x = 20

Divide each side by '-5'.
x = -4

Simplifying
x = -4

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