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

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


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

Reorder the terms:
4(-5 + x) + -12 = x + 3
(-5 * 4 + x * 4) + -12 = x + 3
(-20 + 4x) + -12 = x + 3

Reorder the terms:
-20 + -12 + 4x = x + 3

Combine like terms: -20 + -12 = -32
-32 + 4x = x + 3

Reorder the terms:
-32 + 4x = 3 + x

Solving
-32 + 4x = 3 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-32 + 4x + -1x = 3 + x + -1x

Combine like terms: 4x + -1x = 3x
-32 + 3x = 3 + x + -1x

Combine like terms: x + -1x = 0
-32 + 3x = 3 + 0
-32 + 3x = 3

Add '32' to each side of the equation.
-32 + 32 + 3x = 3 + 32

Combine like terms: -32 + 32 = 0
0 + 3x = 3 + 32
3x = 3 + 32

Combine like terms: 3 + 32 = 35
3x = 35

Divide each side by '3'.
x = 11.66666667

Simplifying
x = 11.66666667

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