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

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


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

Reorder the terms:
4(-3 + x) = 4(x + -3) * 46
(-3 * 4 + x * 4) = 4(x + -3) * 46
(-12 + 4x) = 4(x + -3) * 46

Reorder the terms:
-12 + 4x = 4(-3 + x) * 46

Reorder the terms for easier multiplication:
-12 + 4x = 4 * 46(-3 + x)

Multiply 4 * 46
-12 + 4x = 184(-3 + x)
-12 + 4x = (-3 * 184 + x * 184)
-12 + 4x = (-552 + 184x)

Solving
-12 + 4x = -552 + 184x

Solving for variable 'x'.

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

Add '-184x' to each side of the equation.
-12 + 4x + -184x = -552 + 184x + -184x

Combine like terms: 4x + -184x = -180x
-12 + -180x = -552 + 184x + -184x

Combine like terms: 184x + -184x = 0
-12 + -180x = -552 + 0
-12 + -180x = -552

Add '12' to each side of the equation.
-12 + 12 + -180x = -552 + 12

Combine like terms: -12 + 12 = 0
0 + -180x = -552 + 12
-180x = -552 + 12

Combine like terms: -552 + 12 = -540
-180x = -540

Divide each side by '-180'.
x = 3

Simplifying
x = 3

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