6x-3-2-1-34-22=3x+78+23+45+32

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Solution for 6x-3-2-1-34-22=3x+78+23+45+32 equation:


Simplifying
6x + -3 + -2 + -1 + -34 + -22 = 3x + 78 + 23 + 45 + 32

Reorder the terms:
-3 + -2 + -1 + -34 + -22 + 6x = 3x + 78 + 23 + 45 + 32

Combine like terms: -3 + -2 = -5
-5 + -1 + -34 + -22 + 6x = 3x + 78 + 23 + 45 + 32

Combine like terms: -5 + -1 = -6
-6 + -34 + -22 + 6x = 3x + 78 + 23 + 45 + 32

Combine like terms: -6 + -34 = -40
-40 + -22 + 6x = 3x + 78 + 23 + 45 + 32

Combine like terms: -40 + -22 = -62
-62 + 6x = 3x + 78 + 23 + 45 + 32

Reorder the terms:
-62 + 6x = 78 + 23 + 45 + 32 + 3x

Combine like terms: 78 + 23 = 101
-62 + 6x = 101 + 45 + 32 + 3x

Combine like terms: 101 + 45 = 146
-62 + 6x = 146 + 32 + 3x

Combine like terms: 146 + 32 = 178
-62 + 6x = 178 + 3x

Solving
-62 + 6x = 178 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-62 + 6x + -3x = 178 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-62 + 3x = 178 + 3x + -3x

Combine like terms: 3x + -3x = 0
-62 + 3x = 178 + 0
-62 + 3x = 178

Add '62' to each side of the equation.
-62 + 62 + 3x = 178 + 62

Combine like terms: -62 + 62 = 0
0 + 3x = 178 + 62
3x = 178 + 62

Combine like terms: 178 + 62 = 240
3x = 240

Divide each side by '3'.
x = 80

Simplifying
x = 80

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