7=3(x+4)-2

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Solution for 7=3(x+4)-2 equation:


Simplifying
7 = 3(x + 4) + -2

Reorder the terms:
7 = 3(4 + x) + -2
7 = (4 * 3 + x * 3) + -2
7 = (12 + 3x) + -2

Reorder the terms:
7 = 12 + -2 + 3x

Combine like terms: 12 + -2 = 10
7 = 10 + 3x

Solving
7 = 10 + 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.
7 + -3x = 10 + 3x + -3x

Combine like terms: 3x + -3x = 0
7 + -3x = 10 + 0
7 + -3x = 10

Add '-7' to each side of the equation.
7 + -7 + -3x = 10 + -7

Combine like terms: 7 + -7 = 0
0 + -3x = 10 + -7
-3x = 10 + -7

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

Divide each side by '-3'.
x = -1

Simplifying
x = -1

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