10(3-x)+2=-2(x-2)-6

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Solution for 10(3-x)+2=-2(x-2)-6 equation: 


Simplifying
10(3 + -1x) + 2 = -2(x + -2) + -6
(3 * 10 + -1x * 10) + 2 = -2(x + -2) + -6
(30 + -10x) + 2 = -2(x + -2) + -6

Reorder the terms:
30 + 2 + -10x = -2(x + -2) + -6

Combine like terms: 30 + 2 = 32
32 + -10x = -2(x + -2) + -6

Reorder the terms:
32 + -10x = -2(-2 + x) + -6
32 + -10x = (-2 * -2 + x * -2) + -6
32 + -10x = (4 + -2x) + -6

Reorder the terms:
32 + -10x = 4 + -6 + -2x

Combine like terms: 4 + -6 = -2
32 + -10x = -2 + -2x

Solving
32 + -10x = -2 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
32 + -10x + 2x = -2 + -2x + 2x

Combine like terms: -10x + 2x = -8x
32 + -8x = -2 + -2x + 2x

Combine like terms: -2x + 2x = 0
32 + -8x = -2 + 0
32 + -8x = -2

Add '-32' to each side of the equation.
32 + -32 + -8x = -2 + -32

Combine like terms: 32 + -32 = 0
0 + -8x = -2 + -32
-8x = -2 + -32

Combine like terms: -2 + -32 = -34
-8x = -34

Divide each side by '-8'.
x = 4.25

Simplifying
x = 4.25

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