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

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


Simplifying
2(5 + -3x) = 4(2 + -3x)
(5 * 2 + -3x * 2) = 4(2 + -3x)
(10 + -6x) = 4(2 + -3x)
10 + -6x = (2 * 4 + -3x * 4)
10 + -6x = (8 + -12x)

Solving
10 + -6x = 8 + -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 + -6x + 12x = 8 + -12x + 12x

Combine like terms: -6x + 12x = 6x
10 + 6x = 8 + -12x + 12x

Combine like terms: -12x + 12x = 0
10 + 6x = 8 + 0
10 + 6x = 8

Add '-10' to each side of the equation.
10 + -10 + 6x = 8 + -10

Combine like terms: 10 + -10 = 0
0 + 6x = 8 + -10
6x = 8 + -10

Combine like terms: 8 + -10 = -2
6x = -2

Divide each side by '6'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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