15(3x-5)=-14(2x+4)

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Solution for 15(3x-5)=-14(2x+4) equation:


Simplifying
15(3x + -5) = -14(2x + 4)

Reorder the terms:
15(-5 + 3x) = -14(2x + 4)
(-5 * 15 + 3x * 15) = -14(2x + 4)
(-75 + 45x) = -14(2x + 4)

Reorder the terms:
-75 + 45x = -14(4 + 2x)
-75 + 45x = (4 * -14 + 2x * -14)
-75 + 45x = (-56 + -28x)

Solving
-75 + 45x = -56 + -28x

Solving for variable 'x'.

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

Add '28x' to each side of the equation.
-75 + 45x + 28x = -56 + -28x + 28x

Combine like terms: 45x + 28x = 73x
-75 + 73x = -56 + -28x + 28x

Combine like terms: -28x + 28x = 0
-75 + 73x = -56 + 0
-75 + 73x = -56

Add '75' to each side of the equation.
-75 + 75 + 73x = -56 + 75

Combine like terms: -75 + 75 = 0
0 + 73x = -56 + 75
73x = -56 + 75

Combine like terms: -56 + 75 = 19
73x = 19

Divide each side by '73'.
x = 0.2602739726

Simplifying
x = 0.2602739726

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