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

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


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

Combine like terms: 4 + -2 = 2
3(2) = x + 5(x + -2)

Multiply 3 * 2
6 = x + 5(x + -2)

Reorder the terms:
6 = x + 5(-2 + x)
6 = x + (-2 * 5 + x * 5)
6 = x + (-10 + 5x)

Reorder the terms:
6 = -10 + x + 5x

Combine like terms: x + 5x = 6x
6 = -10 + 6x

Solving
6 = -10 + 6x

Solving for variable 'x'.

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

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

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

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

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

Combine like terms: -10 + -6 = -16
-6x = -16

Divide each side by '-6'.
x = 2.666666667

Simplifying
x = 2.666666667

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