2(13-x)=4(8-x)

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Solution for 2(13-x)=4(8-x) equation:


Simplifying
2(13 + -1x) = 4(8 + -1x)
(13 * 2 + -1x * 2) = 4(8 + -1x)
(26 + -2x) = 4(8 + -1x)
26 + -2x = (8 * 4 + -1x * 4)
26 + -2x = (32 + -4x)

Solving
26 + -2x = 32 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
26 + -2x + 4x = 32 + -4x + 4x

Combine like terms: -2x + 4x = 2x
26 + 2x = 32 + -4x + 4x

Combine like terms: -4x + 4x = 0
26 + 2x = 32 + 0
26 + 2x = 32

Add '-26' to each side of the equation.
26 + -26 + 2x = 32 + -26

Combine like terms: 26 + -26 = 0
0 + 2x = 32 + -26
2x = 32 + -26

Combine like terms: 32 + -26 = 6
2x = 6

Divide each side by '2'.
x = 3

Simplifying
x = 3

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