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

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


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

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

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

Combine like terms: -3 + -7 = -10
-10 + x + 3x = 6

Combine like terms: x + 3x = 4x
-10 + 4x = 6

Solving
-10 + 4x = 6

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + 4x = 6 + 10

Combine like terms: -10 + 10 = 0
0 + 4x = 6 + 10
4x = 6 + 10

Combine like terms: 6 + 10 = 16
4x = 16

Divide each side by '4'.
x = 4

Simplifying
x = 4

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