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

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


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

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

Combine like terms: 3 + 10 = 13
13 + -2x = 4x + 2

Reorder the terms:
13 + -2x = 2 + 4x

Solving
13 + -2x = 2 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
13 + -2x + -4x = 2 + 4x + -4x

Combine like terms: -2x + -4x = -6x
13 + -6x = 2 + 4x + -4x

Combine like terms: 4x + -4x = 0
13 + -6x = 2 + 0
13 + -6x = 2

Add '-13' to each side of the equation.
13 + -13 + -6x = 2 + -13

Combine like terms: 13 + -13 = 0
0 + -6x = 2 + -13
-6x = 2 + -13

Combine like terms: 2 + -13 = -11
-6x = -11

Divide each side by '-6'.
x = 1.833333333

Simplifying
x = 1.833333333

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