4x-7=6x+78

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Solution for 4x-7=6x+78 equation:


Simplifying
4x + -7 = 6x + 78

Reorder the terms:
-7 + 4x = 6x + 78

Reorder the terms:
-7 + 4x = 78 + 6x

Solving
-7 + 4x = 78 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-7 + 4x + -6x = 78 + 6x + -6x

Combine like terms: 4x + -6x = -2x
-7 + -2x = 78 + 6x + -6x

Combine like terms: 6x + -6x = 0
-7 + -2x = 78 + 0
-7 + -2x = 78

Add '7' to each side of the equation.
-7 + 7 + -2x = 78 + 7

Combine like terms: -7 + 7 = 0
0 + -2x = 78 + 7
-2x = 78 + 7

Combine like terms: 78 + 7 = 85
-2x = 85

Divide each side by '-2'.
x = -42.5

Simplifying
x = -42.5

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