4-5x=2(x-5)

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


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

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

Solving
4 + -5x = -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.
4 + -5x + -2x = -10 + 2x + -2x

Combine like terms: -5x + -2x = -7x
4 + -7x = -10 + 2x + -2x

Combine like terms: 2x + -2x = 0
4 + -7x = -10 + 0
4 + -7x = -10

Add '-4' to each side of the equation.
4 + -4 + -7x = -10 + -4

Combine like terms: 4 + -4 = 0
0 + -7x = -10 + -4
-7x = -10 + -4

Combine like terms: -10 + -4 = -14
-7x = -14

Divide each side by '-7'.
x = 2

Simplifying
x = 2

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