4=3(x-7)-2

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


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

Reorder the terms:
4 = 3(-7 + x) + -2
4 = (-7 * 3 + x * 3) + -2
4 = (-21 + 3x) + -2

Reorder the terms:
4 = -21 + -2 + 3x

Combine like terms: -21 + -2 = -23
4 = -23 + 3x

Solving
4 = -23 + 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.
4 + -3x = -23 + 3x + -3x

Combine like terms: 3x + -3x = 0
4 + -3x = -23 + 0
4 + -3x = -23

Add '-4' to each side of the equation.
4 + -4 + -3x = -23 + -4

Combine like terms: 4 + -4 = 0
0 + -3x = -23 + -4
-3x = -23 + -4

Combine like terms: -23 + -4 = -27
-3x = -27

Divide each side by '-3'.
x = 9

Simplifying
x = 9

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