-2(3x-5)+2x=6+2(3x-5)

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Solution for -2(3x-5)+2x=6+2(3x-5) equation:


Simplifying
-2(3x + -5) + 2x = 6 + 2(3x + -5)

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

Combine like terms: -6x + 2x = -4x
10 + -4x = 6 + 2(3x + -5)

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

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

Solving
10 + -4x = -4 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
10 + -4x + -6x = -4 + 6x + -6x

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

Combine like terms: 6x + -6x = 0
10 + -10x = -4 + 0
10 + -10x = -4

Add '-10' to each side of the equation.
10 + -10 + -10x = -4 + -10

Combine like terms: 10 + -10 = 0
0 + -10x = -4 + -10
-10x = -4 + -10

Combine like terms: -4 + -10 = -14
-10x = -14

Divide each side by '-10'.
x = 1.4

Simplifying
x = 1.4

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