2(3x-x)+5(2x-8)=10

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Solution for 2(3x-x)+5(2x-8)=10 equation:


Simplifying
2(3x + -1x) + 5(2x + -8) = 10

Combine like terms: 3x + -1x = 2x
2(2x) + 5(2x + -8) = 10

Remove parenthesis around (2x)
2 * 2x + 5(2x + -8) = 10

Multiply 2 * 2
4x + 5(2x + -8) = 10

Reorder the terms:
4x + 5(-8 + 2x) = 10
4x + (-8 * 5 + 2x * 5) = 10
4x + (-40 + 10x) = 10

Reorder the terms:
-40 + 4x + 10x = 10

Combine like terms: 4x + 10x = 14x
-40 + 14x = 10

Solving
-40 + 14x = 10

Solving for variable 'x'.

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

Add '40' to each side of the equation.
-40 + 40 + 14x = 10 + 40

Combine like terms: -40 + 40 = 0
0 + 14x = 10 + 40
14x = 10 + 40

Combine like terms: 10 + 40 = 50
14x = 50

Divide each side by '14'.
x = 3.571428571

Simplifying
x = 3.571428571

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