(4x+2)-(-2x+8)+2(5x-3)=16

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Solution for (4x+2)-(-2x+8)+2(5x-3)=16 equation:


Simplifying
(4x + 2) + -1(-2x + 8) + 2(5x + -3) = 16

Reorder the terms:
(2 + 4x) + -1(-2x + 8) + 2(5x + -3) = 16

Remove parenthesis around (2 + 4x)
2 + 4x + -1(-2x + 8) + 2(5x + -3) = 16

Reorder the terms:
2 + 4x + -1(8 + -2x) + 2(5x + -3) = 16
2 + 4x + (8 * -1 + -2x * -1) + 2(5x + -3) = 16
2 + 4x + (-8 + 2x) + 2(5x + -3) = 16

Reorder the terms:
2 + 4x + -8 + 2x + 2(-3 + 5x) = 16
2 + 4x + -8 + 2x + (-3 * 2 + 5x * 2) = 16
2 + 4x + -8 + 2x + (-6 + 10x) = 16

Reorder the terms:
2 + -8 + -6 + 4x + 2x + 10x = 16

Combine like terms: 2 + -8 = -6
-6 + -6 + 4x + 2x + 10x = 16

Combine like terms: -6 + -6 = -12
-12 + 4x + 2x + 10x = 16

Combine like terms: 4x + 2x = 6x
-12 + 6x + 10x = 16

Combine like terms: 6x + 10x = 16x
-12 + 16x = 16

Solving
-12 + 16x = 16

Solving for variable 'x'.

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

Add '12' to each side of the equation.
-12 + 12 + 16x = 16 + 12

Combine like terms: -12 + 12 = 0
0 + 16x = 16 + 12
16x = 16 + 12

Combine like terms: 16 + 12 = 28
16x = 28

Divide each side by '16'.
x = 1.75

Simplifying
x = 1.75

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