2(5x+7)=3(3x-3)+3

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Solution for 2(5x+7)=3(3x-3)+3 equation:


Simplifying
2(5x + 7) = 3(3x + -3) + 3

Reorder the terms:
2(7 + 5x) = 3(3x + -3) + 3
(7 * 2 + 5x * 2) = 3(3x + -3) + 3
(14 + 10x) = 3(3x + -3) + 3

Reorder the terms:
14 + 10x = 3(-3 + 3x) + 3
14 + 10x = (-3 * 3 + 3x * 3) + 3
14 + 10x = (-9 + 9x) + 3

Reorder the terms:
14 + 10x = -9 + 3 + 9x

Combine like terms: -9 + 3 = -6
14 + 10x = -6 + 9x

Solving
14 + 10x = -6 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
14 + 10x + -9x = -6 + 9x + -9x

Combine like terms: 10x + -9x = 1x
14 + 1x = -6 + 9x + -9x

Combine like terms: 9x + -9x = 0
14 + 1x = -6 + 0
14 + 1x = -6

Add '-14' to each side of the equation.
14 + -14 + 1x = -6 + -14

Combine like terms: 14 + -14 = 0
0 + 1x = -6 + -14
1x = -6 + -14

Combine like terms: -6 + -14 = -20
1x = -20

Divide each side by '1'.
x = -20

Simplifying
x = -20

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