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

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


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

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

Reorder the terms:
-15 + 1 + 3x = -4x

Combine like terms: -15 + 1 = -14
-14 + 3x = -4x

Solving
-14 + 3x = -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.
-14 + 3x + 4x = -4x + 4x

Combine like terms: 3x + 4x = 7x
-14 + 7x = -4x + 4x

Combine like terms: -4x + 4x = 0
-14 + 7x = 0

Add '14' to each side of the equation.
-14 + 14 + 7x = 0 + 14

Combine like terms: -14 + 14 = 0
0 + 7x = 0 + 14
7x = 0 + 14

Combine like terms: 0 + 14 = 14
7x = 14

Divide each side by '7'.
x = 2

Simplifying
x = 2

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