9+3(x-2)=6-7(x-4)

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Solution for 9+3(x-2)=6-7(x-4) equation:


Simplifying
9 + 3(x + -2) = 6 + -7(x + -4)

Reorder the terms:
9 + 3(-2 + x) = 6 + -7(x + -4)
9 + (-2 * 3 + x * 3) = 6 + -7(x + -4)
9 + (-6 + 3x) = 6 + -7(x + -4)

Combine like terms: 9 + -6 = 3
3 + 3x = 6 + -7(x + -4)

Reorder the terms:
3 + 3x = 6 + -7(-4 + x)
3 + 3x = 6 + (-4 * -7 + x * -7)
3 + 3x = 6 + (28 + -7x)

Combine like terms: 6 + 28 = 34
3 + 3x = 34 + -7x

Solving
3 + 3x = 34 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
3 + 3x + 7x = 34 + -7x + 7x

Combine like terms: 3x + 7x = 10x
3 + 10x = 34 + -7x + 7x

Combine like terms: -7x + 7x = 0
3 + 10x = 34 + 0
3 + 10x = 34

Add '-3' to each side of the equation.
3 + -3 + 10x = 34 + -3

Combine like terms: 3 + -3 = 0
0 + 10x = 34 + -3
10x = 34 + -3

Combine like terms: 34 + -3 = 31
10x = 31

Divide each side by '10'.
x = 3.1

Simplifying
x = 3.1

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