3x+7=19x-38

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Solution for 3x+7=19x-38 equation:


Simplifying
3x + 7 = 19x + -38

Reorder the terms:
7 + 3x = 19x + -38

Reorder the terms:
7 + 3x = -38 + 19x

Solving
7 + 3x = -38 + 19x

Solving for variable 'x'.

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

Add '-19x' to each side of the equation.
7 + 3x + -19x = -38 + 19x + -19x

Combine like terms: 3x + -19x = -16x
7 + -16x = -38 + 19x + -19x

Combine like terms: 19x + -19x = 0
7 + -16x = -38 + 0
7 + -16x = -38

Add '-7' to each side of the equation.
7 + -7 + -16x = -38 + -7

Combine like terms: 7 + -7 = 0
0 + -16x = -38 + -7
-16x = -38 + -7

Combine like terms: -38 + -7 = -45
-16x = -45

Divide each side by '-16'.
x = 2.8125

Simplifying
x = 2.8125

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