3x+19=7x-29

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Solution for 3x+19=7x-29 equation:


Simplifying
3x + 19 = 7x + -29

Reorder the terms:
19 + 3x = 7x + -29

Reorder the terms:
19 + 3x = -29 + 7x

Solving
19 + 3x = -29 + 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.
19 + 3x + -7x = -29 + 7x + -7x

Combine like terms: 3x + -7x = -4x
19 + -4x = -29 + 7x + -7x

Combine like terms: 7x + -7x = 0
19 + -4x = -29 + 0
19 + -4x = -29

Add '-19' to each side of the equation.
19 + -19 + -4x = -29 + -19

Combine like terms: 19 + -19 = 0
0 + -4x = -29 + -19
-4x = -29 + -19

Combine like terms: -29 + -19 = -48
-4x = -48

Divide each side by '-4'.
x = 12

Simplifying
x = 12

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