4(2x-10)=6(3-5x)

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Solution for 4(2x-10)=6(3-5x) equation:


Simplifying
4(2x + -10) = 6(3 + -5x)

Reorder the terms:
4(-10 + 2x) = 6(3 + -5x)
(-10 * 4 + 2x * 4) = 6(3 + -5x)
(-40 + 8x) = 6(3 + -5x)
-40 + 8x = (3 * 6 + -5x * 6)
-40 + 8x = (18 + -30x)

Solving
-40 + 8x = 18 + -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.
-40 + 8x + 30x = 18 + -30x + 30x

Combine like terms: 8x + 30x = 38x
-40 + 38x = 18 + -30x + 30x

Combine like terms: -30x + 30x = 0
-40 + 38x = 18 + 0
-40 + 38x = 18

Add '40' to each side of the equation.
-40 + 40 + 38x = 18 + 40

Combine like terms: -40 + 40 = 0
0 + 38x = 18 + 40
38x = 18 + 40

Combine like terms: 18 + 40 = 58
38x = 58

Divide each side by '38'.
x = 1.526315789

Simplifying
x = 1.526315789

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