5*(x+3)-3*(4-5x)=1

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Solution for 5*(x+3)-3*(4-5x)=1 equation: 


Simplifying
5(x + 3) + -3(4 + -5x) = 1

Reorder the terms:
5(3 + x) + -3(4 + -5x) = 1
(3 * 5 + x * 5) + -3(4 + -5x) = 1
(15 + 5x) + -3(4 + -5x) = 1
15 + 5x + (4 * -3 + -5x * -3) = 1
15 + 5x + (-12 + 15x) = 1

Reorder the terms:
15 + -12 + 5x + 15x = 1

Combine like terms: 15 + -12 = 3
3 + 5x + 15x = 1

Combine like terms: 5x + 15x = 20x
3 + 20x = 1

Solving
3 + 20x = 1

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + 20x = 1 + -3

Combine like terms: 3 + -3 = 0
0 + 20x = 1 + -3
20x = 1 + -3

Combine like terms: 1 + -3 = -2
20x = -2

Divide each side by '20'.
x = -0.1

Simplifying
x = -0.1

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