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

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


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

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

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

Combine like terms: -3x + 2x = -1x
-20 + 4x = 6 + -1x

Solving
-20 + 4x = 6 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-20 + 4x + x = 6 + -1x + x

Combine like terms: 4x + x = 5x
-20 + 5x = 6 + -1x + x

Combine like terms: -1x + x = 0
-20 + 5x = 6 + 0
-20 + 5x = 6

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

Combine like terms: -20 + 20 = 0
0 + 5x = 6 + 20
5x = 6 + 20

Combine like terms: 6 + 20 = 26
5x = 26

Divide each side by '5'.
x = 5.2

Simplifying
x = 5.2

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