5(x-1)+2x=2x+10+4x

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Solution for 5(x-1)+2x=2x+10+4x equation:


Simplifying
5(x + -1) + 2x = 2x + 10 + 4x

Reorder the terms:
5(-1 + x) + 2x = 2x + 10 + 4x
(-1 * 5 + x * 5) + 2x = 2x + 10 + 4x
(-5 + 5x) + 2x = 2x + 10 + 4x

Combine like terms: 5x + 2x = 7x
-5 + 7x = 2x + 10 + 4x

Reorder the terms:
-5 + 7x = 10 + 2x + 4x

Combine like terms: 2x + 4x = 6x
-5 + 7x = 10 + 6x

Solving
-5 + 7x = 10 + 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.
-5 + 7x + -6x = 10 + 6x + -6x

Combine like terms: 7x + -6x = 1x
-5 + 1x = 10 + 6x + -6x

Combine like terms: 6x + -6x = 0
-5 + 1x = 10 + 0
-5 + 1x = 10

Add '5' to each side of the equation.
-5 + 5 + 1x = 10 + 5

Combine like terms: -5 + 5 = 0
0 + 1x = 10 + 5
1x = 10 + 5

Combine like terms: 10 + 5 = 15
1x = 15

Divide each side by '1'.
x = 15

Simplifying
x = 15

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