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

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


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

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

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

Solving
10 + -2x = -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 + -2x + -6x = -4 + 6x + -6x

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

Combine like terms: 6x + -6x = 0
10 + -8x = -4 + 0
10 + -8x = -4

Add '-10' to each side of the equation.
10 + -10 + -8x = -4 + -10

Combine like terms: 10 + -10 = 0
0 + -8x = -4 + -10
-8x = -4 + -10

Combine like terms: -4 + -10 = -14
-8x = -14

Divide each side by '-8'.
x = 1.75

Simplifying
x = 1.75

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