4(5-x)=3x-2

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


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

Reorder the terms:
20 + -4x = -2 + 3x

Solving
20 + -4x = -2 + 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 + -4x + -3x = -2 + 3x + -3x

Combine like terms: -4x + -3x = -7x
20 + -7x = -2 + 3x + -3x

Combine like terms: 3x + -3x = 0
20 + -7x = -2 + 0
20 + -7x = -2

Add '-20' to each side of the equation.
20 + -20 + -7x = -2 + -20

Combine like terms: 20 + -20 = 0
0 + -7x = -2 + -20
-7x = -2 + -20

Combine like terms: -2 + -20 = -22
-7x = -22

Divide each side by '-7'.
x = 3.142857143

Simplifying
x = 3.142857143

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