12-45=4(x-3)-5

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Solution for 12-45=4(x-3)-5 equation:


Simplifying
12 + -45 = 4(x + -3) + -5

Combine like terms: 12 + -45 = -33
-33 = 4(x + -3) + -5

Reorder the terms:
-33 = 4(-3 + x) + -5
-33 = (-3 * 4 + x * 4) + -5
-33 = (-12 + 4x) + -5

Reorder the terms:
-33 = -12 + -5 + 4x

Combine like terms: -12 + -5 = -17
-33 = -17 + 4x

Solving
-33 = -17 + 4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4x' to each side of the equation.
-33 + -4x = -17 + 4x + -4x

Combine like terms: 4x + -4x = 0
-33 + -4x = -17 + 0
-33 + -4x = -17

Add '33' to each side of the equation.
-33 + 33 + -4x = -17 + 33

Combine like terms: -33 + 33 = 0
0 + -4x = -17 + 33
-4x = -17 + 33

Combine like terms: -17 + 33 = 16
-4x = 16

Divide each side by '-4'.
x = -4

Simplifying
x = -4

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