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

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


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

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

Combine like terms: 4 + 10 = 14
14 + -5x = 2x + -4

Reorder the terms:
14 + -5x = -4 + 2x

Solving
14 + -5x = -4 + 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.
14 + -5x + -2x = -4 + 2x + -2x

Combine like terms: -5x + -2x = -7x
14 + -7x = -4 + 2x + -2x

Combine like terms: 2x + -2x = 0
14 + -7x = -4 + 0
14 + -7x = -4

Add '-14' to each side of the equation.
14 + -14 + -7x = -4 + -14

Combine like terms: 14 + -14 = 0
0 + -7x = -4 + -14
-7x = -4 + -14

Combine like terms: -4 + -14 = -18
-7x = -18

Divide each side by '-7'.
x = 2.571428571

Simplifying
x = 2.571428571

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