4+3(x-5)=2-6(x-3)

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Solution for 4+3(x-5)=2-6(x-3) equation:


Simplifying
4 + 3(x + -5) = 2 + -6(x + -3)

Reorder the terms:
4 + 3(-5 + x) = 2 + -6(x + -3)
4 + (-5 * 3 + x * 3) = 2 + -6(x + -3)
4 + (-15 + 3x) = 2 + -6(x + -3)

Combine like terms: 4 + -15 = -11
-11 + 3x = 2 + -6(x + -3)

Reorder the terms:
-11 + 3x = 2 + -6(-3 + x)
-11 + 3x = 2 + (-3 * -6 + x * -6)
-11 + 3x = 2 + (18 + -6x)

Combine like terms: 2 + 18 = 20
-11 + 3x = 20 + -6x

Solving
-11 + 3x = 20 + -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.
-11 + 3x + 6x = 20 + -6x + 6x

Combine like terms: 3x + 6x = 9x
-11 + 9x = 20 + -6x + 6x

Combine like terms: -6x + 6x = 0
-11 + 9x = 20 + 0
-11 + 9x = 20

Add '11' to each side of the equation.
-11 + 11 + 9x = 20 + 11

Combine like terms: -11 + 11 = 0
0 + 9x = 20 + 11
9x = 20 + 11

Combine like terms: 20 + 11 = 31
9x = 31

Divide each side by '9'.
x = 3.444444444

Simplifying
x = 3.444444444

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