3+6(x-3)=7-2(x-1)

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Solution for 3+6(x-3)=7-2(x-1) equation:


Simplifying
3 + 6(x + -3) = 7 + -2(x + -1)

Reorder the terms:
3 + 6(-3 + x) = 7 + -2(x + -1)
3 + (-3 * 6 + x * 6) = 7 + -2(x + -1)
3 + (-18 + 6x) = 7 + -2(x + -1)

Combine like terms: 3 + -18 = -15
-15 + 6x = 7 + -2(x + -1)

Reorder the terms:
-15 + 6x = 7 + -2(-1 + x)
-15 + 6x = 7 + (-1 * -2 + x * -2)
-15 + 6x = 7 + (2 + -2x)

Combine like terms: 7 + 2 = 9
-15 + 6x = 9 + -2x

Solving
-15 + 6x = 9 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-15 + 6x + 2x = 9 + -2x + 2x

Combine like terms: 6x + 2x = 8x
-15 + 8x = 9 + -2x + 2x

Combine like terms: -2x + 2x = 0
-15 + 8x = 9 + 0
-15 + 8x = 9

Add '15' to each side of the equation.
-15 + 15 + 8x = 9 + 15

Combine like terms: -15 + 15 = 0
0 + 8x = 9 + 15
8x = 9 + 15

Combine like terms: 9 + 15 = 24
8x = 24

Divide each side by '8'.
x = 3

Simplifying
x = 3

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