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

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


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

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

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

Solving
3 + -2x = -10 + 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 + -2x + -2x = -10 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
3 + -4x = -10 + 0
3 + -4x = -10

Add '-3' to each side of the equation.
3 + -3 + -4x = -10 + -3

Combine like terms: 3 + -3 = 0
0 + -4x = -10 + -3
-4x = -10 + -3

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

Divide each side by '-4'.
x = 3.25

Simplifying
x = 3.25

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