5(3-2x)=8-6(2-5x)

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Solution for 5(3-2x)=8-6(2-5x) equation:


Simplifying
5(3 + -2x) = 8 + -6(2 + -5x)
(3 * 5 + -2x * 5) = 8 + -6(2 + -5x)
(15 + -10x) = 8 + -6(2 + -5x)
15 + -10x = 8 + (2 * -6 + -5x * -6)
15 + -10x = 8 + (-12 + 30x)

Combine like terms: 8 + -12 = -4
15 + -10x = -4 + 30x

Solving
15 + -10x = -4 + 30x

Solving for variable 'x'.

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

Add '-30x' to each side of the equation.
15 + -10x + -30x = -4 + 30x + -30x

Combine like terms: -10x + -30x = -40x
15 + -40x = -4 + 30x + -30x

Combine like terms: 30x + -30x = 0
15 + -40x = -4 + 0
15 + -40x = -4

Add '-15' to each side of the equation.
15 + -15 + -40x = -4 + -15

Combine like terms: 15 + -15 = 0
0 + -40x = -4 + -15
-40x = -4 + -15

Combine like terms: -4 + -15 = -19
-40x = -19

Divide each side by '-40'.
x = 0.475

Simplifying
x = 0.475

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