8x+2-5x=4(x-2)

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Solution for 8x+2-5x=4(x-2) equation: 


Simplifying
8x + 2 + -5x = 4(x + -2)

Reorder the terms:
2 + 8x + -5x = 4(x + -2)

Combine like terms: 8x + -5x = 3x
2 + 3x = 4(x + -2)

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

Solving
2 + 3x = -8 + 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.
2 + 3x + -4x = -8 + 4x + -4x

Combine like terms: 3x + -4x = -1x
2 + -1x = -8 + 4x + -4x

Combine like terms: 4x + -4x = 0
2 + -1x = -8 + 0
2 + -1x = -8

Add '-2' to each side of the equation.
2 + -2 + -1x = -8 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = -8 + -2
-1x = -8 + -2

Combine like terms: -8 + -2 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10

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