3(5x+4)-2+(5x-3)=5+(2x-6)

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Solution for 3(5x+4)-2+(5x-3)=5+(2x-6) equation:


Simplifying
3(5x + 4) + -2 + (5x + -3) = 5 + (2x + -6)

Reorder the terms:
3(4 + 5x) + -2 + (5x + -3) = 5 + (2x + -6)
(4 * 3 + 5x * 3) + -2 + (5x + -3) = 5 + (2x + -6)
(12 + 15x) + -2 + (5x + -3) = 5 + (2x + -6)

Reorder the terms:
12 + 15x + -2 + (-3 + 5x) = 5 + (2x + -6)

Remove parenthesis around (-3 + 5x)
12 + 15x + -2 + -3 + 5x = 5 + (2x + -6)

Reorder the terms:
12 + -2 + -3 + 15x + 5x = 5 + (2x + -6)

Combine like terms: 12 + -2 = 10
10 + -3 + 15x + 5x = 5 + (2x + -6)

Combine like terms: 10 + -3 = 7
7 + 15x + 5x = 5 + (2x + -6)

Combine like terms: 15x + 5x = 20x
7 + 20x = 5 + (2x + -6)

Reorder the terms:
7 + 20x = 5 + (-6 + 2x)

Remove parenthesis around (-6 + 2x)
7 + 20x = 5 + -6 + 2x

Combine like terms: 5 + -6 = -1
7 + 20x = -1 + 2x

Solving
7 + 20x = -1 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
7 + 20x + -2x = -1 + 2x + -2x

Combine like terms: 20x + -2x = 18x
7 + 18x = -1 + 2x + -2x

Combine like terms: 2x + -2x = 0
7 + 18x = -1 + 0
7 + 18x = -1

Add '-7' to each side of the equation.
7 + -7 + 18x = -1 + -7

Combine like terms: 7 + -7 = 0
0 + 18x = -1 + -7
18x = -1 + -7

Combine like terms: -1 + -7 = -8
18x = -8

Divide each side by '18'.
x = -0.4444444444

Simplifying
x = -0.4444444444

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