14-42=3(x-4)-7

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Solution for 14-42=3(x-4)-7 equation:


Simplifying
14 + -42 = 3(x + -4) + -7

Combine like terms: 14 + -42 = -28
-28 = 3(x + -4) + -7

Reorder the terms:
-28 = 3(-4 + x) + -7
-28 = (-4 * 3 + x * 3) + -7
-28 = (-12 + 3x) + -7

Reorder the terms:
-28 = -12 + -7 + 3x

Combine like terms: -12 + -7 = -19
-28 = -19 + 3x

Solving
-28 = -19 + 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.
-28 + -3x = -19 + 3x + -3x

Combine like terms: 3x + -3x = 0
-28 + -3x = -19 + 0
-28 + -3x = -19

Add '28' to each side of the equation.
-28 + 28 + -3x = -19 + 28

Combine like terms: -28 + 28 = 0
0 + -3x = -19 + 28
-3x = -19 + 28

Combine like terms: -19 + 28 = 9
-3x = 9

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

Simplifying
x = -3

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