3+9(x-3)=6-4(x-1)

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Solution for 3+9(x-3)=6-4(x-1) equation:


Simplifying
3 + 9(x + -3) = 6 + -4(x + -1)

Reorder the terms:
3 + 9(-3 + x) = 6 + -4(x + -1)
3 + (-3 * 9 + x * 9) = 6 + -4(x + -1)
3 + (-27 + 9x) = 6 + -4(x + -1)

Combine like terms: 3 + -27 = -24
-24 + 9x = 6 + -4(x + -1)

Reorder the terms:
-24 + 9x = 6 + -4(-1 + x)
-24 + 9x = 6 + (-1 * -4 + x * -4)
-24 + 9x = 6 + (4 + -4x)

Combine like terms: 6 + 4 = 10
-24 + 9x = 10 + -4x

Solving
-24 + 9x = 10 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-24 + 9x + 4x = 10 + -4x + 4x

Combine like terms: 9x + 4x = 13x
-24 + 13x = 10 + -4x + 4x

Combine like terms: -4x + 4x = 0
-24 + 13x = 10 + 0
-24 + 13x = 10

Add '24' to each side of the equation.
-24 + 24 + 13x = 10 + 24

Combine like terms: -24 + 24 = 0
0 + 13x = 10 + 24
13x = 10 + 24

Combine like terms: 10 + 24 = 34
13x = 34

Divide each side by '13'.
x = 2.615384615

Simplifying
x = 2.615384615

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