24-43=3(x-1)-7

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Solution for 24-43=3(x-1)-7 equation:


Simplifying
24 + -43 = 3(x + -1) + -7

Combine like terms: 24 + -43 = -19
-19 = 3(x + -1) + -7

Reorder the terms:
-19 = 3(-1 + x) + -7
-19 = (-1 * 3 + x * 3) + -7
-19 = (-3 + 3x) + -7

Reorder the terms:
-19 = -3 + -7 + 3x

Combine like terms: -3 + -7 = -10
-19 = -10 + 3x

Solving
-19 = -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.
-19 + -3x = -10 + 3x + -3x

Combine like terms: 3x + -3x = 0
-19 + -3x = -10 + 0
-19 + -3x = -10

Add '19' to each side of the equation.
-19 + 19 + -3x = -10 + 19

Combine like terms: -19 + 19 = 0
0 + -3x = -10 + 19
-3x = -10 + 19

Combine like terms: -10 + 19 = 9
-3x = 9

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

Simplifying
x = -3

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