3(-5-6x)=4(5x+3)

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Solution for 3(-5-6x)=4(5x+3) equation:


Simplifying
3(-5 + -6x) = 4(5x + 3)
(-5 * 3 + -6x * 3) = 4(5x + 3)
(-15 + -18x) = 4(5x + 3)

Reorder the terms:
-15 + -18x = 4(3 + 5x)
-15 + -18x = (3 * 4 + 5x * 4)
-15 + -18x = (12 + 20x)

Solving
-15 + -18x = 12 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
-15 + -18x + -20x = 12 + 20x + -20x

Combine like terms: -18x + -20x = -38x
-15 + -38x = 12 + 20x + -20x

Combine like terms: 20x + -20x = 0
-15 + -38x = 12 + 0
-15 + -38x = 12

Add '15' to each side of the equation.
-15 + 15 + -38x = 12 + 15

Combine like terms: -15 + 15 = 0
0 + -38x = 12 + 15
-38x = 12 + 15

Combine like terms: 12 + 15 = 27
-38x = 27

Divide each side by '-38'.
x = -0.7105263158

Simplifying
x = -0.7105263158

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