2(5x+3)-3=6(2x-3)+15

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Solution for 2(5x+3)-3=6(2x-3)+15 equation:


Simplifying
2(5x + 3) + -3 = 6(2x + -3) + 15

Reorder the terms:
2(3 + 5x) + -3 = 6(2x + -3) + 15
(3 * 2 + 5x * 2) + -3 = 6(2x + -3) + 15
(6 + 10x) + -3 = 6(2x + -3) + 15

Reorder the terms:
6 + -3 + 10x = 6(2x + -3) + 15

Combine like terms: 6 + -3 = 3
3 + 10x = 6(2x + -3) + 15

Reorder the terms:
3 + 10x = 6(-3 + 2x) + 15
3 + 10x = (-3 * 6 + 2x * 6) + 15
3 + 10x = (-18 + 12x) + 15

Reorder the terms:
3 + 10x = -18 + 15 + 12x

Combine like terms: -18 + 15 = -3
3 + 10x = -3 + 12x

Solving
3 + 10x = -3 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
3 + 10x + -12x = -3 + 12x + -12x

Combine like terms: 10x + -12x = -2x
3 + -2x = -3 + 12x + -12x

Combine like terms: 12x + -12x = 0
3 + -2x = -3 + 0
3 + -2x = -3

Add '-3' to each side of the equation.
3 + -3 + -2x = -3 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = -3 + -3
-2x = -3 + -3

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

Divide each side by '-2'.
x = 3

Simplifying
x = 3

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