4(10x-5)=3(-6x-3)

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Solution for 4(10x-5)=3(-6x-3) equation:


Simplifying
4(10x + -5) = 3(-6x + -3)

Reorder the terms:
4(-5 + 10x) = 3(-6x + -3)
(-5 * 4 + 10x * 4) = 3(-6x + -3)
(-20 + 40x) = 3(-6x + -3)

Reorder the terms:
-20 + 40x = 3(-3 + -6x)
-20 + 40x = (-3 * 3 + -6x * 3)
-20 + 40x = (-9 + -18x)

Solving
-20 + 40x = -9 + -18x

Solving for variable 'x'.

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

Add '18x' to each side of the equation.
-20 + 40x + 18x = -9 + -18x + 18x

Combine like terms: 40x + 18x = 58x
-20 + 58x = -9 + -18x + 18x

Combine like terms: -18x + 18x = 0
-20 + 58x = -9 + 0
-20 + 58x = -9

Add '20' to each side of the equation.
-20 + 20 + 58x = -9 + 20

Combine like terms: -20 + 20 = 0
0 + 58x = -9 + 20
58x = -9 + 20

Combine like terms: -9 + 20 = 11
58x = 11

Divide each side by '58'.
x = 0.1896551724

Simplifying
x = 0.1896551724

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