10=3x+5+3(x-5)

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Solution for 10=3x+5+3(x-5) equation:


Simplifying
10 = 3x + 5 + 3(x + -5)

Reorder the terms:
10 = 3x + 5 + 3(-5 + x)
10 = 3x + 5 + (-5 * 3 + x * 3)
10 = 3x + 5 + (-15 + 3x)

Reorder the terms:
10 = 5 + -15 + 3x + 3x

Combine like terms: 5 + -15 = -10
10 = -10 + 3x + 3x

Combine like terms: 3x + 3x = 6x
10 = -10 + 6x

Solving
10 = -10 + 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.
10 + -6x = -10 + 6x + -6x

Combine like terms: 6x + -6x = 0
10 + -6x = -10 + 0
10 + -6x = -10

Add '-10' to each side of the equation.
10 + -10 + -6x = -10 + -10

Combine like terms: 10 + -10 = 0
0 + -6x = -10 + -10
-6x = -10 + -10

Combine like terms: -10 + -10 = -20
-6x = -20

Divide each side by '-6'.
x = 3.333333333

Simplifying
x = 3.333333333

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