2-3(x-5)=4x+1

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Solution for 2-3(x-5)=4x+1 equation: 


Simplifying
2 + -3(x + -5) = 4x + 1

Reorder the terms:
2 + -3(-5 + x) = 4x + 1
2 + (-5 * -3 + x * -3) = 4x + 1
2 + (15 + -3x) = 4x + 1

Combine like terms: 2 + 15 = 17
17 + -3x = 4x + 1

Reorder the terms:
17 + -3x = 1 + 4x

Solving
17 + -3x = 1 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
17 + -3x + -4x = 1 + 4x + -4x

Combine like terms: -3x + -4x = -7x
17 + -7x = 1 + 4x + -4x

Combine like terms: 4x + -4x = 0
17 + -7x = 1 + 0
17 + -7x = 1

Add '-17' to each side of the equation.
17 + -17 + -7x = 1 + -17

Combine like terms: 17 + -17 = 0
0 + -7x = 1 + -17
-7x = 1 + -17

Combine like terms: 1 + -17 = -16
-7x = -16

Divide each side by '-7'.
x = 2.285714286

Simplifying
x = 2.285714286

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