4x+3=6-(2x-8)

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Solution for 4x+3=6-(2x-8) equation:


Simplifying
4x + 3 = 6 + -1(2x + -8)

Reorder the terms:
3 + 4x = 6 + -1(2x + -8)

Reorder the terms:
3 + 4x = 6 + -1(-8 + 2x)
3 + 4x = 6 + (-8 * -1 + 2x * -1)
3 + 4x = 6 + (8 + -2x)

Combine like terms: 6 + 8 = 14
3 + 4x = 14 + -2x

Solving
3 + 4x = 14 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
3 + 4x + 2x = 14 + -2x + 2x

Combine like terms: 4x + 2x = 6x
3 + 6x = 14 + -2x + 2x

Combine like terms: -2x + 2x = 0
3 + 6x = 14 + 0
3 + 6x = 14

Add '-3' to each side of the equation.
3 + -3 + 6x = 14 + -3

Combine like terms: 3 + -3 = 0
0 + 6x = 14 + -3
6x = 14 + -3

Combine like terms: 14 + -3 = 11
6x = 11

Divide each side by '6'.
x = 1.833333333

Simplifying
x = 1.833333333

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