4+(x+3)+5(x-3)=105

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Solution for 4+(x+3)+5(x-3)=105 equation:


Simplifying
4 + (x + 3) + 5(x + -3) = 105

Reorder the terms:
4 + (3 + x) + 5(x + -3) = 105

Remove parenthesis around (3 + x)
4 + 3 + x + 5(x + -3) = 105

Reorder the terms:
4 + 3 + x + 5(-3 + x) = 105
4 + 3 + x + (-3 * 5 + x * 5) = 105
4 + 3 + x + (-15 + 5x) = 105

Reorder the terms:
4 + 3 + -15 + x + 5x = 105

Combine like terms: 4 + 3 = 7
7 + -15 + x + 5x = 105

Combine like terms: 7 + -15 = -8
-8 + x + 5x = 105

Combine like terms: x + 5x = 6x
-8 + 6x = 105

Solving
-8 + 6x = 105

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + 6x = 105 + 8

Combine like terms: -8 + 8 = 0
0 + 6x = 105 + 8
6x = 105 + 8

Combine like terms: 105 + 8 = 113
6x = 113

Divide each side by '6'.
x = 18.83333333

Simplifying
x = 18.83333333

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