10(5-6x)=4(8-2x)

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Solution for 10(5-6x)=4(8-2x) equation:


Simplifying
10(5 + -6x) = 4(8 + -2x)
(5 * 10 + -6x * 10) = 4(8 + -2x)
(50 + -60x) = 4(8 + -2x)
50 + -60x = (8 * 4 + -2x * 4)
50 + -60x = (32 + -8x)

Solving
50 + -60x = 32 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
50 + -60x + 8x = 32 + -8x + 8x

Combine like terms: -60x + 8x = -52x
50 + -52x = 32 + -8x + 8x

Combine like terms: -8x + 8x = 0
50 + -52x = 32 + 0
50 + -52x = 32

Add '-50' to each side of the equation.
50 + -50 + -52x = 32 + -50

Combine like terms: 50 + -50 = 0
0 + -52x = 32 + -50
-52x = 32 + -50

Combine like terms: 32 + -50 = -18
-52x = -18

Divide each side by '-52'.
x = 0.3461538462

Simplifying
x = 0.3461538462

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