3*(x-2)=4x-(10x-2)

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Solution for 3*(x-2)=4x-(10x-2) equation:


Simplifying
3(x + -2) = 4x + -1(10x + -2)

Reorder the terms:
3(-2 + x) = 4x + -1(10x + -2)
(-2 * 3 + x * 3) = 4x + -1(10x + -2)
(-6 + 3x) = 4x + -1(10x + -2)

Reorder the terms:
-6 + 3x = 4x + -1(-2 + 10x)
-6 + 3x = 4x + (-2 * -1 + 10x * -1)
-6 + 3x = 4x + (2 + -10x)

Reorder the terms:
-6 + 3x = 2 + 4x + -10x

Combine like terms: 4x + -10x = -6x
-6 + 3x = 2 + -6x

Solving
-6 + 3x = 2 + -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.
-6 + 3x + 6x = 2 + -6x + 6x

Combine like terms: 3x + 6x = 9x
-6 + 9x = 2 + -6x + 6x

Combine like terms: -6x + 6x = 0
-6 + 9x = 2 + 0
-6 + 9x = 2

Add '6' to each side of the equation.
-6 + 6 + 9x = 2 + 6

Combine like terms: -6 + 6 = 0
0 + 9x = 2 + 6
9x = 2 + 6

Combine like terms: 2 + 6 = 8
9x = 8

Divide each side by '9'.
x = 0.8888888889

Simplifying
x = 0.8888888889

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