4x-2(x+3)=15-5x

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Solution for 4x-2(x+3)=15-5x equation:


Simplifying
4x + -2(x + 3) = 15 + -5x

Reorder the terms:
4x + -2(3 + x) = 15 + -5x
4x + (3 * -2 + x * -2) = 15 + -5x
4x + (-6 + -2x) = 15 + -5x

Reorder the terms:
-6 + 4x + -2x = 15 + -5x

Combine like terms: 4x + -2x = 2x
-6 + 2x = 15 + -5x

Solving
-6 + 2x = 15 + -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.
-6 + 2x + 5x = 15 + -5x + 5x

Combine like terms: 2x + 5x = 7x
-6 + 7x = 15 + -5x + 5x

Combine like terms: -5x + 5x = 0
-6 + 7x = 15 + 0
-6 + 7x = 15

Add '6' to each side of the equation.
-6 + 6 + 7x = 15 + 6

Combine like terms: -6 + 6 = 0
0 + 7x = 15 + 6
7x = 15 + 6

Combine like terms: 15 + 6 = 21
7x = 21

Divide each side by '7'.
x = 3

Simplifying
x = 3

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