20x+15x+20(x-1)+15(x-1)=245

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Solution for 20x+15x+20(x-1)+15(x-1)=245 equation:


Simplifying
20x + 15x + 20(x + -1) + 15(x + -1) = 245

Reorder the terms:
20x + 15x + 20(-1 + x) + 15(x + -1) = 245
20x + 15x + (-1 * 20 + x * 20) + 15(x + -1) = 245
20x + 15x + (-20 + 20x) + 15(x + -1) = 245

Reorder the terms:
20x + 15x + -20 + 20x + 15(-1 + x) = 245
20x + 15x + -20 + 20x + (-1 * 15 + x * 15) = 245
20x + 15x + -20 + 20x + (-15 + 15x) = 245

Reorder the terms:
-20 + -15 + 20x + 15x + 20x + 15x = 245

Combine like terms: -20 + -15 = -35
-35 + 20x + 15x + 20x + 15x = 245

Combine like terms: 20x + 15x = 35x
-35 + 35x + 20x + 15x = 245

Combine like terms: 35x + 20x = 55x
-35 + 55x + 15x = 245

Combine like terms: 55x + 15x = 70x
-35 + 70x = 245

Solving
-35 + 70x = 245

Solving for variable 'x'.

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

Add '35' to each side of the equation.
-35 + 35 + 70x = 245 + 35

Combine like terms: -35 + 35 = 0
0 + 70x = 245 + 35
70x = 245 + 35

Combine like terms: 245 + 35 = 280
70x = 280

Divide each side by '70'.
x = 4

Simplifying
x = 4

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