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

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


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

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

Combine like terms: 4 + -9 = -5
-5 + 3x = 3 + -6(x + -4)

Reorder the terms:
-5 + 3x = 3 + -6(-4 + x)
-5 + 3x = 3 + (-4 * -6 + x * -6)
-5 + 3x = 3 + (24 + -6x)

Combine like terms: 3 + 24 = 27
-5 + 3x = 27 + -6x

Solving
-5 + 3x = 27 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-5 + 3x + 6x = 27 + -6x + 6x

Combine like terms: 3x + 6x = 9x
-5 + 9x = 27 + -6x + 6x

Combine like terms: -6x + 6x = 0
-5 + 9x = 27 + 0
-5 + 9x = 27

Add '5' to each side of the equation.
-5 + 5 + 9x = 27 + 5

Combine like terms: -5 + 5 = 0
0 + 9x = 27 + 5
9x = 27 + 5

Combine like terms: 27 + 5 = 32
9x = 32

Divide each side by '9'.
x = 3.555555556

Simplifying
x = 3.555555556

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