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

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


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

Reorder the terms:
8(-2 + x) + 2 = 4x + 4(-3 + x) * 3
(-2 * 8 + x * 8) + 2 = 4x + 4(-3 + x) * 3
(-16 + 8x) + 2 = 4x + 4(-3 + x) * 3

Reorder the terms:
-16 + 2 + 8x = 4x + 4(-3 + x) * 3

Combine like terms: -16 + 2 = -14
-14 + 8x = 4x + 4(-3 + x) * 3

Reorder the terms for easier multiplication:
-14 + 8x = 4x + 4 * 3(-3 + x)

Multiply 4 * 3
-14 + 8x = 4x + 12(-3 + x)
-14 + 8x = 4x + (-3 * 12 + x * 12)
-14 + 8x = 4x + (-36 + 12x)

Reorder the terms:
-14 + 8x = -36 + 4x + 12x

Combine like terms: 4x + 12x = 16x
-14 + 8x = -36 + 16x

Solving
-14 + 8x = -36 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
-14 + 8x + -16x = -36 + 16x + -16x

Combine like terms: 8x + -16x = -8x
-14 + -8x = -36 + 16x + -16x

Combine like terms: 16x + -16x = 0
-14 + -8x = -36 + 0
-14 + -8x = -36

Add '14' to each side of the equation.
-14 + 14 + -8x = -36 + 14

Combine like terms: -14 + 14 = 0
0 + -8x = -36 + 14
-8x = -36 + 14

Combine like terms: -36 + 14 = -22
-8x = -22

Divide each side by '-8'.
x = 2.75

Simplifying
x = 2.75

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