5(4-x)=3(2+x)

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Solution for 5(4-x)=3(2+x) equation:


Simplifying
5(4 + -1x) = 3(2 + x)
(4 * 5 + -1x * 5) = 3(2 + x)
(20 + -5x) = 3(2 + x)
20 + -5x = (2 * 3 + x * 3)
20 + -5x = (6 + 3x)

Solving
20 + -5x = 6 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
20 + -5x + -3x = 6 + 3x + -3x

Combine like terms: -5x + -3x = -8x
20 + -8x = 6 + 3x + -3x

Combine like terms: 3x + -3x = 0
20 + -8x = 6 + 0
20 + -8x = 6

Add '-20' to each side of the equation.
20 + -20 + -8x = 6 + -20

Combine like terms: 20 + -20 = 0
0 + -8x = 6 + -20
-8x = 6 + -20

Combine like terms: 6 + -20 = -14
-8x = -14

Divide each side by '-8'.
x = 1.75

Simplifying
x = 1.75

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