x+(2x)(3)+(3x-5)+(5x)(1)=63

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Solution for x+(2x)(3)+(3x-5)+(5x)(1)=63 equation:


Simplifying
x + (2x)(3) + (3x + -5) + (5x)(1) = 63

Remove parenthesis around (2x)
x + 2x(3) + (3x + -5) + (5x)(1) = 63

Reorder the terms for easier multiplication:
x + 2 * 3x + (3x + -5) + (5x)(1) = 63

Multiply 2 * 3
x + 6x + (3x + -5) + (5x)(1) = 63

Reorder the terms:
x + 6x + (-5 + 3x) + (5x)(1) = 63

Remove parenthesis around (-5 + 3x)
x + 6x + -5 + 3x + (5x)(1) = 63

Remove parenthesis around (5x)
x + 6x + -5 + 3x + 5x(1) = 63

Reorder the terms for easier multiplication:
x + 6x + -5 + 3x + 5 * 1x = 63

Multiply 5 * 1
x + 6x + -5 + 3x + 5x = 63

Reorder the terms:
-5 + x + 6x + 3x + 5x = 63

Combine like terms: x + 6x = 7x
-5 + 7x + 3x + 5x = 63

Combine like terms: 7x + 3x = 10x
-5 + 10x + 5x = 63

Combine like terms: 10x + 5x = 15x
-5 + 15x = 63

Solving
-5 + 15x = 63

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + 15x = 63 + 5

Combine like terms: -5 + 5 = 0
0 + 15x = 63 + 5
15x = 63 + 5

Combine like terms: 63 + 5 = 68
15x = 68

Divide each side by '15'.
x = 4.533333333

Simplifying
x = 4.533333333

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