4-2(3x+1)=-5(6x+30)

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Solution for 4-2(3x+1)=-5(6x+30) equation: 


Simplifying
4 + -2(3x + 1) = -5(6x + 30)

Reorder the terms:
4 + -2(1 + 3x) = -5(6x + 30)
4 + (1 * -2 + 3x * -2) = -5(6x + 30)
4 + (-2 + -6x) = -5(6x + 30)

Combine like terms: 4 + -2 = 2
2 + -6x = -5(6x + 30)

Reorder the terms:
2 + -6x = -5(30 + 6x)
2 + -6x = (30 * -5 + 6x * -5)
2 + -6x = (-150 + -30x)

Solving
2 + -6x = -150 + -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.
2 + -6x + 30x = -150 + -30x + 30x

Combine like terms: -6x + 30x = 24x
2 + 24x = -150 + -30x + 30x

Combine like terms: -30x + 30x = 0
2 + 24x = -150 + 0
2 + 24x = -150

Add '-2' to each side of the equation.
2 + -2 + 24x = -150 + -2

Combine like terms: 2 + -2 = 0
0 + 24x = -150 + -2
24x = -150 + -2

Combine like terms: -150 + -2 = -152
24x = -152

Divide each side by '24'.
x = -6.333333333

Simplifying
x = -6.333333333

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