24-46=3(x-3)-4

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Solution for 24-46=3(x-3)-4 equation:


Simplifying
24 + -46 = 3(x + -3) + -4

Combine like terms: 24 + -46 = -22
-22 = 3(x + -3) + -4

Reorder the terms:
-22 = 3(-3 + x) + -4
-22 = (-3 * 3 + x * 3) + -4
-22 = (-9 + 3x) + -4

Reorder the terms:
-22 = -9 + -4 + 3x

Combine like terms: -9 + -4 = -13
-22 = -13 + 3x

Solving
-22 = -13 + 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.
-22 + -3x = -13 + 3x + -3x

Combine like terms: 3x + -3x = 0
-22 + -3x = -13 + 0
-22 + -3x = -13

Add '22' to each side of the equation.
-22 + 22 + -3x = -13 + 22

Combine like terms: -22 + 22 = 0
0 + -3x = -13 + 22
-3x = -13 + 22

Combine like terms: -13 + 22 = 9
-3x = 9

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

Simplifying
x = -3

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