2(40x-10)+45-15=3(25x+15)-5

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Solution for 2(40x-10)+45-15=3(25x+15)-5 equation:


Simplifying
2(40x + -10) + 45 + -15 = 3(25x + 15) + -5

Reorder the terms:
2(-10 + 40x) + 45 + -15 = 3(25x + 15) + -5
(-10 * 2 + 40x * 2) + 45 + -15 = 3(25x + 15) + -5
(-20 + 80x) + 45 + -15 = 3(25x + 15) + -5

Reorder the terms:
-20 + 45 + -15 + 80x = 3(25x + 15) + -5

Combine like terms: -20 + 45 = 25
25 + -15 + 80x = 3(25x + 15) + -5

Combine like terms: 25 + -15 = 10
10 + 80x = 3(25x + 15) + -5

Reorder the terms:
10 + 80x = 3(15 + 25x) + -5
10 + 80x = (15 * 3 + 25x * 3) + -5
10 + 80x = (45 + 75x) + -5

Reorder the terms:
10 + 80x = 45 + -5 + 75x

Combine like terms: 45 + -5 = 40
10 + 80x = 40 + 75x

Solving
10 + 80x = 40 + 75x

Solving for variable 'x'.

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

Add '-75x' to each side of the equation.
10 + 80x + -75x = 40 + 75x + -75x

Combine like terms: 80x + -75x = 5x
10 + 5x = 40 + 75x + -75x

Combine like terms: 75x + -75x = 0
10 + 5x = 40 + 0
10 + 5x = 40

Add '-10' to each side of the equation.
10 + -10 + 5x = 40 + -10

Combine like terms: 10 + -10 = 0
0 + 5x = 40 + -10
5x = 40 + -10

Combine like terms: 40 + -10 = 30
5x = 30

Divide each side by '5'.
x = 6

Simplifying
x = 6

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