3+3(x-1)=4-9(x-8)

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Solution for 3+3(x-1)=4-9(x-8) equation:


Simplifying
3 + 3(x + -1) = 4 + -9(x + -8)

Reorder the terms:
3 + 3(-1 + x) = 4 + -9(x + -8)
3 + (-1 * 3 + x * 3) = 4 + -9(x + -8)
3 + (-3 + 3x) = 4 + -9(x + -8)

Combine like terms: 3 + -3 = 0
0 + 3x = 4 + -9(x + -8)
3x = 4 + -9(x + -8)

Reorder the terms:
3x = 4 + -9(-8 + x)
3x = 4 + (-8 * -9 + x * -9)
3x = 4 + (72 + -9x)

Combine like terms: 4 + 72 = 76
3x = 76 + -9x

Solving
3x = 76 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
3x + 9x = 76 + -9x + 9x

Combine like terms: 3x + 9x = 12x
12x = 76 + -9x + 9x

Combine like terms: -9x + 9x = 0
12x = 76 + 0
12x = 76

Divide each side by '12'.
x = 6.333333333

Simplifying
x = 6.333333333

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