6x-(3x-15)=2x+16

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Solution for 6x-(3x-15)=2x+16 equation:


Simplifying
6x + -1(3x + -15) = 2x + 16

Reorder the terms:
6x + -1(-15 + 3x) = 2x + 16
6x + (-15 * -1 + 3x * -1) = 2x + 16
6x + (15 + -3x) = 2x + 16

Reorder the terms:
15 + 6x + -3x = 2x + 16

Combine like terms: 6x + -3x = 3x
15 + 3x = 2x + 16

Reorder the terms:
15 + 3x = 16 + 2x

Solving
15 + 3x = 16 + 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.
15 + 3x + -2x = 16 + 2x + -2x

Combine like terms: 3x + -2x = 1x
15 + 1x = 16 + 2x + -2x

Combine like terms: 2x + -2x = 0
15 + 1x = 16 + 0
15 + 1x = 16

Add '-15' to each side of the equation.
15 + -15 + 1x = 16 + -15

Combine like terms: 15 + -15 = 0
0 + 1x = 16 + -15
1x = 16 + -15

Combine like terms: 16 + -15 = 1
1x = 1

Divide each side by '1'.
x = 1

Simplifying
x = 1

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