x+3=2(5x-5)

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


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

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

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

Solving
3 + x = -10 + 10x

Solving for variable 'x'.

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

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

Combine like terms: x + -10x = -9x
3 + -9x = -10 + 10x + -10x

Combine like terms: 10x + -10x = 0
3 + -9x = -10 + 0
3 + -9x = -10

Add '-3' to each side of the equation.
3 + -3 + -9x = -10 + -3

Combine like terms: 3 + -3 = 0
0 + -9x = -10 + -3
-9x = -10 + -3

Combine like terms: -10 + -3 = -13
-9x = -13

Divide each side by '-9'.
x = 1.444444444

Simplifying
x = 1.444444444

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