5x-2(x-1)=3(2-x)+4

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Solution for 5x-2(x-1)=3(2-x)+4 equation: 


Simplifying
5x + -2(x + -1) = 3(2 + -1x) + 4

Reorder the terms:
5x + -2(-1 + x) = 3(2 + -1x) + 4
5x + (-1 * -2 + x * -2) = 3(2 + -1x) + 4
5x + (2 + -2x) = 3(2 + -1x) + 4

Reorder the terms:
2 + 5x + -2x = 3(2 + -1x) + 4

Combine like terms: 5x + -2x = 3x
2 + 3x = 3(2 + -1x) + 4
2 + 3x = (2 * 3 + -1x * 3) + 4
2 + 3x = (6 + -3x) + 4

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

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

Solving
2 + 3x = 10 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
2 + 3x + 3x = 10 + -3x + 3x

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

Combine like terms: -3x + 3x = 0
2 + 6x = 10 + 0
2 + 6x = 10

Add '-2' to each side of the equation.
2 + -2 + 6x = 10 + -2

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

Combine like terms: 10 + -2 = 8
6x = 8

Divide each side by '6'.
x = 1.333333333

Simplifying
x = 1.333333333

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