3(x-4)=-4x+23

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Solution for 3(x-4)=-4x+23 equation:


Simplifying
3(x + -4) = -4x + 23

Reorder the terms:
3(-4 + x) = -4x + 23
(-4 * 3 + x * 3) = -4x + 23
(-12 + 3x) = -4x + 23

Reorder the terms:
-12 + 3x = 23 + -4x

Solving
-12 + 3x = 23 + -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.
-12 + 3x + 4x = 23 + -4x + 4x

Combine like terms: 3x + 4x = 7x
-12 + 7x = 23 + -4x + 4x

Combine like terms: -4x + 4x = 0
-12 + 7x = 23 + 0
-12 + 7x = 23

Add '12' to each side of the equation.
-12 + 12 + 7x = 23 + 12

Combine like terms: -12 + 12 = 0
0 + 7x = 23 + 12
7x = 23 + 12

Combine like terms: 23 + 12 = 35
7x = 35

Divide each side by '7'.
x = 5

Simplifying
x = 5

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