6x-10=-4(x+3)-28

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Solution for 6x-10=-4(x+3)-28 equation:


Simplifying
6x + -10 = -4(x + 3) + -28

Reorder the terms:
-10 + 6x = -4(x + 3) + -28

Reorder the terms:
-10 + 6x = -4(3 + x) + -28
-10 + 6x = (3 * -4 + x * -4) + -28
-10 + 6x = (-12 + -4x) + -28

Reorder the terms:
-10 + 6x = -12 + -28 + -4x

Combine like terms: -12 + -28 = -40
-10 + 6x = -40 + -4x

Solving
-10 + 6x = -40 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-10 + 6x + 4x = -40 + -4x + 4x

Combine like terms: 6x + 4x = 10x
-10 + 10x = -40 + -4x + 4x

Combine like terms: -4x + 4x = 0
-10 + 10x = -40 + 0
-10 + 10x = -40

Add '10' to each side of the equation.
-10 + 10 + 10x = -40 + 10

Combine like terms: -10 + 10 = 0
0 + 10x = -40 + 10
10x = -40 + 10

Combine like terms: -40 + 10 = -30
10x = -30

Divide each side by '10'.
x = -3

Simplifying
x = -3

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