3x+1=7x-19

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Solution for 3x+1=7x-19 equation:


Simplifying
3x + 1 = 7x + -19

Reorder the terms:
1 + 3x = 7x + -19

Reorder the terms:
1 + 3x = -19 + 7x

Solving
1 + 3x = -19 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
1 + 3x + -7x = -19 + 7x + -7x

Combine like terms: 3x + -7x = -4x
1 + -4x = -19 + 7x + -7x

Combine like terms: 7x + -7x = 0
1 + -4x = -19 + 0
1 + -4x = -19

Add '-1' to each side of the equation.
1 + -1 + -4x = -19 + -1

Combine like terms: 1 + -1 = 0
0 + -4x = -19 + -1
-4x = -19 + -1

Combine like terms: -19 + -1 = -20
-4x = -20

Divide each side by '-4'.
x = 5

Simplifying
x = 5

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