3+2(5x-2)+4(2-x)=8

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Solution for 3+2(5x-2)+4(2-x)=8 equation:


Simplifying
3 + 2(5x + -2) + 4(2 + -1x) = 8

Reorder the terms:
3 + 2(-2 + 5x) + 4(2 + -1x) = 8
3 + (-2 * 2 + 5x * 2) + 4(2 + -1x) = 8
3 + (-4 + 10x) + 4(2 + -1x) = 8
3 + -4 + 10x + (2 * 4 + -1x * 4) = 8
3 + -4 + 10x + (8 + -4x) = 8

Reorder the terms:
3 + -4 + 8 + 10x + -4x = 8

Combine like terms: 3 + -4 = -1
-1 + 8 + 10x + -4x = 8

Combine like terms: -1 + 8 = 7
7 + 10x + -4x = 8

Combine like terms: 10x + -4x = 6x
7 + 6x = 8

Solving
7 + 6x = 8

Solving for variable 'x'.

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

Add '-7' to each side of the equation.
7 + -7 + 6x = 8 + -7

Combine like terms: 7 + -7 = 0
0 + 6x = 8 + -7
6x = 8 + -7

Combine like terms: 8 + -7 = 1
6x = 1

Divide each side by '6'.
x = 0.1666666667

Simplifying
x = 0.1666666667

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