4+3(x-2)=1-9(x-3)

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Solution for 4+3(x-2)=1-9(x-3) equation:


Simplifying
4 + 3(x + -2) = 1 + -9(x + -3)

Reorder the terms:
4 + 3(-2 + x) = 1 + -9(x + -3)
4 + (-2 * 3 + x * 3) = 1 + -9(x + -3)
4 + (-6 + 3x) = 1 + -9(x + -3)

Combine like terms: 4 + -6 = -2
-2 + 3x = 1 + -9(x + -3)

Reorder the terms:
-2 + 3x = 1 + -9(-3 + x)
-2 + 3x = 1 + (-3 * -9 + x * -9)
-2 + 3x = 1 + (27 + -9x)

Combine like terms: 1 + 27 = 28
-2 + 3x = 28 + -9x

Solving
-2 + 3x = 28 + -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.
-2 + 3x + 9x = 28 + -9x + 9x

Combine like terms: 3x + 9x = 12x
-2 + 12x = 28 + -9x + 9x

Combine like terms: -9x + 9x = 0
-2 + 12x = 28 + 0
-2 + 12x = 28

Add '2' to each side of the equation.
-2 + 2 + 12x = 28 + 2

Combine like terms: -2 + 2 = 0
0 + 12x = 28 + 2
12x = 28 + 2

Combine like terms: 28 + 2 = 30
12x = 30

Divide each side by '12'.
x = 2.5

Simplifying
x = 2.5

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