4x-2=-3x+19

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Solution for 4x-2=-3x+19 equation:


Simplifying
4x + -2 = -3x + 19

Reorder the terms:
-2 + 4x = -3x + 19

Reorder the terms:
-2 + 4x = 19 + -3x

Solving
-2 + 4x = 19 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-2 + 4x + 3x = 19 + -3x + 3x

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

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

Add '2' to each side of the equation.
-2 + 2 + 7x = 19 + 2

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

Combine like terms: 19 + 2 = 21
7x = 21

Divide each side by '7'.
x = 3

Simplifying
x = 3

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