-7x-30=-6x-4(x+6)

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Solution for -7x-30=-6x-4(x+6) equation:


Simplifying
-7x + -30 = -6x + -4(x + 6)

Reorder the terms:
-30 + -7x = -6x + -4(x + 6)

Reorder the terms:
-30 + -7x = -6x + -4(6 + x)
-30 + -7x = -6x + (6 * -4 + x * -4)
-30 + -7x = -6x + (-24 + -4x)

Reorder the terms:
-30 + -7x = -24 + -6x + -4x

Combine like terms: -6x + -4x = -10x
-30 + -7x = -24 + -10x

Solving
-30 + -7x = -24 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
-30 + -7x + 10x = -24 + -10x + 10x

Combine like terms: -7x + 10x = 3x
-30 + 3x = -24 + -10x + 10x

Combine like terms: -10x + 10x = 0
-30 + 3x = -24 + 0
-30 + 3x = -24

Add '30' to each side of the equation.
-30 + 30 + 3x = -24 + 30

Combine like terms: -30 + 30 = 0
0 + 3x = -24 + 30
3x = -24 + 30

Combine like terms: -24 + 30 = 6
3x = 6

Divide each side by '3'.
x = 2

Simplifying
x = 2

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