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

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


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

Reorder the terms:
4(-5 + x) = 3(2 + -1x)
(-5 * 4 + x * 4) = 3(2 + -1x)
(-20 + 4x) = 3(2 + -1x)
-20 + 4x = (2 * 3 + -1x * 3)
-20 + 4x = (6 + -3x)

Solving
-20 + 4x = 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 + 4x + 3x = 6 + -3x + 3x

Combine like terms: 4x + 3x = 7x
-20 + 7x = 6 + -3x + 3x

Combine like terms: -3x + 3x = 0
-20 + 7x = 6 + 0
-20 + 7x = 6

Add '20' to each side of the equation.
-20 + 20 + 7x = 6 + 20

Combine like terms: -20 + 20 = 0
0 + 7x = 6 + 20
7x = 6 + 20

Combine like terms: 6 + 20 = 26
7x = 26

Divide each side by '7'.
x = 3.714285714

Simplifying
x = 3.714285714

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