7x+19=4x-2

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Solution for 7x+19=4x-2 equation:


Simplifying
7x + 19 = 4x + -2

Reorder the terms:
19 + 7x = 4x + -2

Reorder the terms:
19 + 7x = -2 + 4x

Solving
19 + 7x = -2 + 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.
19 + 7x + -4x = -2 + 4x + -4x

Combine like terms: 7x + -4x = 3x
19 + 3x = -2 + 4x + -4x

Combine like terms: 4x + -4x = 0
19 + 3x = -2 + 0
19 + 3x = -2

Add '-19' to each side of the equation.
19 + -19 + 3x = -2 + -19

Combine like terms: 19 + -19 = 0
0 + 3x = -2 + -19
3x = -2 + -19

Combine like terms: -2 + -19 = -21
3x = -21

Divide each side by '3'.
x = -7

Simplifying
x = -7

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