6(x-3)=-4(x+2)+28

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Solution for 6(x-3)=-4(x+2)+28 equation: 


Simplifying
6(x + -3) = -4(x + 2) + 28

Reorder the terms:
6(-3 + x) = -4(x + 2) + 28
(-3 * 6 + x * 6) = -4(x + 2) + 28
(-18 + 6x) = -4(x + 2) + 28

Reorder the terms:
-18 + 6x = -4(2 + x) + 28
-18 + 6x = (2 * -4 + x * -4) + 28
-18 + 6x = (-8 + -4x) + 28

Reorder the terms:
-18 + 6x = -8 + 28 + -4x

Combine like terms: -8 + 28 = 20
-18 + 6x = 20 + -4x

Solving
-18 + 6x = 20 + -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.
-18 + 6x + 4x = 20 + -4x + 4x

Combine like terms: 6x + 4x = 10x
-18 + 10x = 20 + -4x + 4x

Combine like terms: -4x + 4x = 0
-18 + 10x = 20 + 0
-18 + 10x = 20

Add '18' to each side of the equation.
-18 + 18 + 10x = 20 + 18

Combine like terms: -18 + 18 = 0
0 + 10x = 20 + 18
10x = 20 + 18

Combine like terms: 20 + 18 = 38
10x = 38

Divide each side by '10'.
x = 3.8

Simplifying
x = 3.8

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