10(x-4)=4(x+4)+x

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Solution for 10(x-4)=4(x+4)+x equation:


Simplifying
10(x + -4) = 4(x + 4) + x

Reorder the terms:
10(-4 + x) = 4(x + 4) + x
(-4 * 10 + x * 10) = 4(x + 4) + x
(-40 + 10x) = 4(x + 4) + x

Reorder the terms:
-40 + 10x = 4(4 + x) + x
-40 + 10x = (4 * 4 + x * 4) + x
-40 + 10x = (16 + 4x) + x

Combine like terms: 4x + x = 5x
-40 + 10x = 16 + 5x

Solving
-40 + 10x = 16 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-40 + 10x + -5x = 16 + 5x + -5x

Combine like terms: 10x + -5x = 5x
-40 + 5x = 16 + 5x + -5x

Combine like terms: 5x + -5x = 0
-40 + 5x = 16 + 0
-40 + 5x = 16

Add '40' to each side of the equation.
-40 + 40 + 5x = 16 + 40

Combine like terms: -40 + 40 = 0
0 + 5x = 16 + 40
5x = 16 + 40

Combine like terms: 16 + 40 = 56
5x = 56

Divide each side by '5'.
x = 11.2

Simplifying
x = 11.2

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