4x-169=7x+84

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Solution for 4x-169=7x+84 equation:


Simplifying
4x + -169 = 7x + 84

Reorder the terms:
-169 + 4x = 7x + 84

Reorder the terms:
-169 + 4x = 84 + 7x

Solving
-169 + 4x = 84 + 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.
-169 + 4x + -7x = 84 + 7x + -7x

Combine like terms: 4x + -7x = -3x
-169 + -3x = 84 + 7x + -7x

Combine like terms: 7x + -7x = 0
-169 + -3x = 84 + 0
-169 + -3x = 84

Add '169' to each side of the equation.
-169 + 169 + -3x = 84 + 169

Combine like terms: -169 + 169 = 0
0 + -3x = 84 + 169
-3x = 84 + 169

Combine like terms: 84 + 169 = 253
-3x = 253

Divide each side by '-3'.
x = -84.33333333

Simplifying
x = -84.33333333

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