6(x-4)+1=3x+7

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Solution for 6(x-4)+1=3x+7 equation:


Simplifying
6(x + -4) + 1 = 3x + 7

Reorder the terms:
6(-4 + x) + 1 = 3x + 7
(-4 * 6 + x * 6) + 1 = 3x + 7
(-24 + 6x) + 1 = 3x + 7

Reorder the terms:
-24 + 1 + 6x = 3x + 7

Combine like terms: -24 + 1 = -23
-23 + 6x = 3x + 7

Reorder the terms:
-23 + 6x = 7 + 3x

Solving
-23 + 6x = 7 + 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.
-23 + 6x + -3x = 7 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-23 + 3x = 7 + 3x + -3x

Combine like terms: 3x + -3x = 0
-23 + 3x = 7 + 0
-23 + 3x = 7

Add '23' to each side of the equation.
-23 + 23 + 3x = 7 + 23

Combine like terms: -23 + 23 = 0
0 + 3x = 7 + 23
3x = 7 + 23

Combine like terms: 7 + 23 = 30
3x = 30

Divide each side by '3'.
x = 10

Simplifying
x = 10

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