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

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


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

Reorder the terms:
4 + -3(-2 + x) = 5(6 + -1x)
4 + (-2 * -3 + x * -3) = 5(6 + -1x)
4 + (6 + -3x) = 5(6 + -1x)

Combine like terms: 4 + 6 = 10
10 + -3x = 5(6 + -1x)
10 + -3x = (6 * 5 + -1x * 5)
10 + -3x = (30 + -5x)

Solving
10 + -3x = 30 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
10 + -3x + 5x = 30 + -5x + 5x

Combine like terms: -3x + 5x = 2x
10 + 2x = 30 + -5x + 5x

Combine like terms: -5x + 5x = 0
10 + 2x = 30 + 0
10 + 2x = 30

Add '-10' to each side of the equation.
10 + -10 + 2x = 30 + -10

Combine like terms: 10 + -10 = 0
0 + 2x = 30 + -10
2x = 30 + -10

Combine like terms: 30 + -10 = 20
2x = 20

Divide each side by '2'.
x = 10

Simplifying
x = 10

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