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

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


Simplifying
2(5 + -1x) = 3(2 + -4x)
(5 * 2 + -1x * 2) = 3(2 + -4x)
(10 + -2x) = 3(2 + -4x)
10 + -2x = (2 * 3 + -4x * 3)
10 + -2x = (6 + -12x)

Solving
10 + -2x = 6 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
10 + -2x + 12x = 6 + -12x + 12x

Combine like terms: -2x + 12x = 10x
10 + 10x = 6 + -12x + 12x

Combine like terms: -12x + 12x = 0
10 + 10x = 6 + 0
10 + 10x = 6

Add '-10' to each side of the equation.
10 + -10 + 10x = 6 + -10

Combine like terms: 10 + -10 = 0
0 + 10x = 6 + -10
10x = 6 + -10

Combine like terms: 6 + -10 = -4
10x = -4

Divide each side by '10'.
x = -0.4

Simplifying
x = -0.4

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