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

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Solution for 23.2(x-5)=4x-2(x+5) equation:


Simplifying
23.2(x + -5) = 4x + -2(x + 5)

Reorder the terms:
23.2(-5 + x) = 4x + -2(x + 5)
(-5 * 23.2 + x * 23.2) = 4x + -2(x + 5)
(-116 + 23.2x) = 4x + -2(x + 5)

Reorder the terms:
-116 + 23.2x = 4x + -2(5 + x)
-116 + 23.2x = 4x + (5 * -2 + x * -2)
-116 + 23.2x = 4x + (-10 + -2x)

Reorder the terms:
-116 + 23.2x = -10 + 4x + -2x

Combine like terms: 4x + -2x = 2x
-116 + 23.2x = -10 + 2x

Solving
-116 + 23.2x = -10 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-116 + 23.2x + -2x = -10 + 2x + -2x

Combine like terms: 23.2x + -2x = 21.2x
-116 + 21.2x = -10 + 2x + -2x

Combine like terms: 2x + -2x = 0
-116 + 21.2x = -10 + 0
-116 + 21.2x = -10

Add '116' to each side of the equation.
-116 + 116 + 21.2x = -10 + 116

Combine like terms: -116 + 116 = 0
0 + 21.2x = -10 + 116
21.2x = -10 + 116

Combine like terms: -10 + 116 = 106
21.2x = 106

Divide each side by '21.2'.
x = 5

Simplifying
x = 5

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