3x+226=7x-42

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Solution for 3x+226=7x-42 equation:


Simplifying
3x + 226 = 7x + -42

Reorder the terms:
226 + 3x = 7x + -42

Reorder the terms:
226 + 3x = -42 + 7x

Solving
226 + 3x = -42 + 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.
226 + 3x + -7x = -42 + 7x + -7x

Combine like terms: 3x + -7x = -4x
226 + -4x = -42 + 7x + -7x

Combine like terms: 7x + -7x = 0
226 + -4x = -42 + 0
226 + -4x = -42

Add '-226' to each side of the equation.
226 + -226 + -4x = -42 + -226

Combine like terms: 226 + -226 = 0
0 + -4x = -42 + -226
-4x = -42 + -226

Combine like terms: -42 + -226 = -268
-4x = -268

Divide each side by '-4'.
x = 67

Simplifying
x = 67

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