x-3(x-5)+6x=30

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Solution for x-3(x-5)+6x=30 equation:


Simplifying
x + -3(x + -5) + 6x = 30

Reorder the terms:
x + -3(-5 + x) + 6x = 30
x + (-5 * -3 + x * -3) + 6x = 30
x + (15 + -3x) + 6x = 30

Reorder the terms:
15 + x + -3x + 6x = 30

Combine like terms: x + -3x = -2x
15 + -2x + 6x = 30

Combine like terms: -2x + 6x = 4x
15 + 4x = 30

Solving
15 + 4x = 30

Solving for variable 'x'.

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

Add '-15' to each side of the equation.
15 + -15 + 4x = 30 + -15

Combine like terms: 15 + -15 = 0
0 + 4x = 30 + -15
4x = 30 + -15

Combine like terms: 30 + -15 = 15
4x = 15

Divide each side by '4'.
x = 3.75

Simplifying
x = 3.75

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