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

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


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

Reorder the terms:
3(5 + x) = 4(3 + -2x)
(5 * 3 + x * 3) = 4(3 + -2x)
(15 + 3x) = 4(3 + -2x)
15 + 3x = (3 * 4 + -2x * 4)
15 + 3x = (12 + -8x)

Solving
15 + 3x = 12 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
15 + 3x + 8x = 12 + -8x + 8x

Combine like terms: 3x + 8x = 11x
15 + 11x = 12 + -8x + 8x

Combine like terms: -8x + 8x = 0
15 + 11x = 12 + 0
15 + 11x = 12

Add '-15' to each side of the equation.
15 + -15 + 11x = 12 + -15

Combine like terms: 15 + -15 = 0
0 + 11x = 12 + -15
11x = 12 + -15

Combine like terms: 12 + -15 = -3
11x = -3

Divide each side by '11'.
x = -0.2727272727

Simplifying
x = -0.2727272727

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