(4x+2)=(7x-19)

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


Simplifying
(4x + 2) = (7x + -19)

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

Remove parenthesis around (2 + 4x)
2 + 4x = (7x + -19)

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

Remove parenthesis around (-19 + 7x)
2 + 4x = -19 + 7x

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

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

Combine like terms: 7x + -7x = 0
2 + -3x = -19 + 0
2 + -3x = -19

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

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

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

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

Simplifying
x = 7

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