5(3x-10)+x=6x-30

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Solution for 5(3x-10)+x=6x-30 equation:


Simplifying
5(3x + -10) + x = 6x + -30

Reorder the terms:
5(-10 + 3x) + x = 6x + -30
(-10 * 5 + 3x * 5) + x = 6x + -30
(-50 + 15x) + x = 6x + -30

Combine like terms: 15x + x = 16x
-50 + 16x = 6x + -30

Reorder the terms:
-50 + 16x = -30 + 6x

Solving
-50 + 16x = -30 + 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.
-50 + 16x + -6x = -30 + 6x + -6x

Combine like terms: 16x + -6x = 10x
-50 + 10x = -30 + 6x + -6x

Combine like terms: 6x + -6x = 0
-50 + 10x = -30 + 0
-50 + 10x = -30

Add '50' to each side of the equation.
-50 + 50 + 10x = -30 + 50

Combine like terms: -50 + 50 = 0
0 + 10x = -30 + 50
10x = -30 + 50

Combine like terms: -30 + 50 = 20
10x = 20

Divide each side by '10'.
x = 2

Simplifying
x = 2

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