4(x-5)+2+3x=17+12x-23

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Solution for 4(x-5)+2+3x=17+12x-23 equation:


Simplifying
4(x + -5) + 2 + 3x = 17 + 12x + -23

Reorder the terms:
4(-5 + x) + 2 + 3x = 17 + 12x + -23
(-5 * 4 + x * 4) + 2 + 3x = 17 + 12x + -23
(-20 + 4x) + 2 + 3x = 17 + 12x + -23

Reorder the terms:
-20 + 2 + 4x + 3x = 17 + 12x + -23

Combine like terms: -20 + 2 = -18
-18 + 4x + 3x = 17 + 12x + -23

Combine like terms: 4x + 3x = 7x
-18 + 7x = 17 + 12x + -23

Reorder the terms:
-18 + 7x = 17 + -23 + 12x

Combine like terms: 17 + -23 = -6
-18 + 7x = -6 + 12x

Solving
-18 + 7x = -6 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-18 + 7x + -12x = -6 + 12x + -12x

Combine like terms: 7x + -12x = -5x
-18 + -5x = -6 + 12x + -12x

Combine like terms: 12x + -12x = 0
-18 + -5x = -6 + 0
-18 + -5x = -6

Add '18' to each side of the equation.
-18 + 18 + -5x = -6 + 18

Combine like terms: -18 + 18 = 0
0 + -5x = -6 + 18
-5x = -6 + 18

Combine like terms: -6 + 18 = 12
-5x = 12

Divide each side by '-5'.
x = -2.4

Simplifying
x = -2.4

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