4(x-2)=-6(x+4)+28

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Solution for 4(x-2)=-6(x+4)+28 equation:


Simplifying
4(x + -2) = -6(x + 4) + 28

Reorder the terms:
4(-2 + x) = -6(x + 4) + 28
(-2 * 4 + x * 4) = -6(x + 4) + 28
(-8 + 4x) = -6(x + 4) + 28

Reorder the terms:
-8 + 4x = -6(4 + x) + 28
-8 + 4x = (4 * -6 + x * -6) + 28
-8 + 4x = (-24 + -6x) + 28

Reorder the terms:
-8 + 4x = -24 + 28 + -6x

Combine like terms: -24 + 28 = 4
-8 + 4x = 4 + -6x

Solving
-8 + 4x = 4 + -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.
-8 + 4x + 6x = 4 + -6x + 6x

Combine like terms: 4x + 6x = 10x
-8 + 10x = 4 + -6x + 6x

Combine like terms: -6x + 6x = 0
-8 + 10x = 4 + 0
-8 + 10x = 4

Add '8' to each side of the equation.
-8 + 8 + 10x = 4 + 8

Combine like terms: -8 + 8 = 0
0 + 10x = 4 + 8
10x = 4 + 8

Combine like terms: 4 + 8 = 12
10x = 12

Divide each side by '10'.
x = 1.2

Simplifying
x = 1.2

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