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

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


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

Reorder the terms:
3(3 + 4x) = 5(x + -2) + 15
(3 * 3 + 4x * 3) = 5(x + -2) + 15
(9 + 12x) = 5(x + -2) + 15

Reorder the terms:
9 + 12x = 5(-2 + x) + 15
9 + 12x = (-2 * 5 + x * 5) + 15
9 + 12x = (-10 + 5x) + 15

Reorder the terms:
9 + 12x = -10 + 15 + 5x

Combine like terms: -10 + 15 = 5
9 + 12x = 5 + 5x

Solving
9 + 12x = 5 + 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.
9 + 12x + -5x = 5 + 5x + -5x

Combine like terms: 12x + -5x = 7x
9 + 7x = 5 + 5x + -5x

Combine like terms: 5x + -5x = 0
9 + 7x = 5 + 0
9 + 7x = 5

Add '-9' to each side of the equation.
9 + -9 + 7x = 5 + -9

Combine like terms: 9 + -9 = 0
0 + 7x = 5 + -9
7x = 5 + -9

Combine like terms: 5 + -9 = -4
7x = -4

Divide each side by '7'.
x = -0.5714285714

Simplifying
x = -0.5714285714

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