4(x-5)=6(-x+2)

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Solution for 4(x-5)=6(-x+2) equation:


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

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

Reorder the terms:
-20 + 4x = 6(2 + -1x)
-20 + 4x = (2 * 6 + -1x * 6)
-20 + 4x = (12 + -6x)

Solving
-20 + 4x = 12 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-20 + 4x + 6x = 12 + -6x + 6x

Combine like terms: 4x + 6x = 10x
-20 + 10x = 12 + -6x + 6x

Combine like terms: -6x + 6x = 0
-20 + 10x = 12 + 0
-20 + 10x = 12

Add '20' to each side of the equation.
-20 + 20 + 10x = 12 + 20

Combine like terms: -20 + 20 = 0
0 + 10x = 12 + 20
10x = 12 + 20

Combine like terms: 12 + 20 = 32
10x = 32

Divide each side by '10'.
x = 3.2

Simplifying
x = 3.2

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