4(x-3)+2=8-3(4-2x)

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Solution for 4(x-3)+2=8-3(4-2x) equation: 


Simplifying
4(x + -3) + 2 = 8 + -3(4 + -2x)

Reorder the terms:
4(-3 + x) + 2 = 8 + -3(4 + -2x)
(-3 * 4 + x * 4) + 2 = 8 + -3(4 + -2x)
(-12 + 4x) + 2 = 8 + -3(4 + -2x)

Reorder the terms:
-12 + 2 + 4x = 8 + -3(4 + -2x)

Combine like terms: -12 + 2 = -10
-10 + 4x = 8 + -3(4 + -2x)
-10 + 4x = 8 + (4 * -3 + -2x * -3)
-10 + 4x = 8 + (-12 + 6x)

Combine like terms: 8 + -12 = -4
-10 + 4x = -4 + 6x

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

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

Combine like terms: 6x + -6x = 0
-10 + -2x = -4 + 0
-10 + -2x = -4

Add '10' to each side of the equation.
-10 + 10 + -2x = -4 + 10

Combine like terms: -10 + 10 = 0
0 + -2x = -4 + 10
-2x = -4 + 10

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

Divide each side by '-2'.
x = -3

Simplifying
x = -3

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