4(5-x)=10-2(4-x)

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Solution for 4(5-x)=10-2(4-x) equation:


Simplifying
4(5 + -1x) = 10 + -2(4 + -1x)
(5 * 4 + -1x * 4) = 10 + -2(4 + -1x)
(20 + -4x) = 10 + -2(4 + -1x)
20 + -4x = 10 + (4 * -2 + -1x * -2)
20 + -4x = 10 + (-8 + 2x)

Combine like terms: 10 + -8 = 2
20 + -4x = 2 + 2x

Solving
20 + -4x = 2 + 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.
20 + -4x + -2x = 2 + 2x + -2x

Combine like terms: -4x + -2x = -6x
20 + -6x = 2 + 2x + -2x

Combine like terms: 2x + -2x = 0
20 + -6x = 2 + 0
20 + -6x = 2

Add '-20' to each side of the equation.
20 + -20 + -6x = 2 + -20

Combine like terms: 20 + -20 = 0
0 + -6x = 2 + -20
-6x = 2 + -20

Combine like terms: 2 + -20 = -18
-6x = -18

Divide each side by '-6'.
x = 3

Simplifying
x = 3

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