(x-2)*3+30x=(7x+5)*5-7*15

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Solution for (x-2)*3+30x=(7x+5)*5-7*15 equation:


Simplifying
(x + -2) * 3 + 30x = (7x + 5) * 5 + -7 * 15

Reorder the terms:
(-2 + x) * 3 + 30x = (7x + 5) * 5 + -7 * 15

Reorder the terms for easier multiplication:
3(-2 + x) + 30x = (7x + 5) * 5 + -7 * 15
(-2 * 3 + x * 3) + 30x = (7x + 5) * 5 + -7 * 15
(-6 + 3x) + 30x = (7x + 5) * 5 + -7 * 15

Combine like terms: 3x + 30x = 33x
-6 + 33x = (7x + 5) * 5 + -7 * 15

Reorder the terms:
-6 + 33x = (5 + 7x) * 5 + -7 * 15

Reorder the terms for easier multiplication:
-6 + 33x = 5(5 + 7x) + -7 * 15
-6 + 33x = (5 * 5 + 7x * 5) + -7 * 15
-6 + 33x = (25 + 35x) + -7 * 15

Multiply -7 * 15
-6 + 33x = 25 + 35x + -105

Reorder the terms:
-6 + 33x = 25 + -105 + 35x

Combine like terms: 25 + -105 = -80
-6 + 33x = -80 + 35x

Solving
-6 + 33x = -80 + 35x

Solving for variable 'x'.

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

Add '-35x' to each side of the equation.
-6 + 33x + -35x = -80 + 35x + -35x

Combine like terms: 33x + -35x = -2x
-6 + -2x = -80 + 35x + -35x

Combine like terms: 35x + -35x = 0
-6 + -2x = -80 + 0
-6 + -2x = -80

Add '6' to each side of the equation.
-6 + 6 + -2x = -80 + 6

Combine like terms: -6 + 6 = 0
0 + -2x = -80 + 6
-2x = -80 + 6

Combine like terms: -80 + 6 = -74
-2x = -74

Divide each side by '-2'.
x = 37

Simplifying
x = 37

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