-5(5x-3)=6(4x+1)

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Solution for -5(5x-3)=6(4x+1) equation:


Simplifying
-5(5x + -3) = 6(4x + 1)

Reorder the terms:
-5(-3 + 5x) = 6(4x + 1)
(-3 * -5 + 5x * -5) = 6(4x + 1)
(15 + -25x) = 6(4x + 1)

Reorder the terms:
15 + -25x = 6(1 + 4x)
15 + -25x = (1 * 6 + 4x * 6)
15 + -25x = (6 + 24x)

Solving
15 + -25x = 6 + 24x

Solving for variable 'x'.

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

Add '-24x' to each side of the equation.
15 + -25x + -24x = 6 + 24x + -24x

Combine like terms: -25x + -24x = -49x
15 + -49x = 6 + 24x + -24x

Combine like terms: 24x + -24x = 0
15 + -49x = 6 + 0
15 + -49x = 6

Add '-15' to each side of the equation.
15 + -15 + -49x = 6 + -15

Combine like terms: 15 + -15 = 0
0 + -49x = 6 + -15
-49x = 6 + -15

Combine like terms: 6 + -15 = -9
-49x = -9

Divide each side by '-49'.
x = 0.1836734694

Simplifying
x = 0.1836734694

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