6+2(x-1)=10-3(x-6)

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Solution for 6+2(x-1)=10-3(x-6) equation: 


Simplifying
6 + 2(x + -1) = 10 + -3(x + -6)

Reorder the terms:
6 + 2(-1 + x) = 10 + -3(x + -6)
6 + (-1 * 2 + x * 2) = 10 + -3(x + -6)
6 + (-2 + 2x) = 10 + -3(x + -6)

Combine like terms: 6 + -2 = 4
4 + 2x = 10 + -3(x + -6)

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

Combine like terms: 10 + 18 = 28
4 + 2x = 28 + -3x

Solving
4 + 2x = 28 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
4 + 2x + 3x = 28 + -3x + 3x

Combine like terms: 2x + 3x = 5x
4 + 5x = 28 + -3x + 3x

Combine like terms: -3x + 3x = 0
4 + 5x = 28 + 0
4 + 5x = 28

Add '-4' to each side of the equation.
4 + -4 + 5x = 28 + -4

Combine like terms: 4 + -4 = 0
0 + 5x = 28 + -4
5x = 28 + -4

Combine like terms: 28 + -4 = 24
5x = 24

Divide each side by '5'.
x = 4.8

Simplifying
x = 4.8

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