x*13-174=x*4-2

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Solution for x*13-174=x*4-2 equation:


Simplifying
x * 13 + -174 = x * 4 + -2

Reorder the terms for easier multiplication:
13x + -174 = x * 4 + -2

Reorder the terms:
-174 + 13x = x * 4 + -2

Reorder the terms for easier multiplication:
-174 + 13x = 4x + -2

Reorder the terms:
-174 + 13x = -2 + 4x

Solving
-174 + 13x = -2 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-174 + 13x + -4x = -2 + 4x + -4x

Combine like terms: 13x + -4x = 9x
-174 + 9x = -2 + 4x + -4x

Combine like terms: 4x + -4x = 0
-174 + 9x = -2 + 0
-174 + 9x = -2

Add '174' to each side of the equation.
-174 + 174 + 9x = -2 + 174

Combine like terms: -174 + 174 = 0
0 + 9x = -2 + 174
9x = -2 + 174

Combine like terms: -2 + 174 = 172
9x = 172

Divide each side by '9'.
x = 19.11111111

Simplifying
x = 19.11111111

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