4(3x+3)+7-5x=8+(-5)(5x-6x)+23

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Solution for 4(3x+3)+7-5x=8+(-5)(5x-6x)+23 equation:


Simplifying
4(3x + 3) + 7 + -5x = 8 + (-5)(5x + -6x) + 23

Reorder the terms:
4(3 + 3x) + 7 + -5x = 8 + (-5)(5x + -6x) + 23
(3 * 4 + 3x * 4) + 7 + -5x = 8 + (-5)(5x + -6x) + 23
(12 + 12x) + 7 + -5x = 8 + (-5)(5x + -6x) + 23

Reorder the terms:
12 + 7 + 12x + -5x = 8 + (-5)(5x + -6x) + 23

Combine like terms: 12 + 7 = 19
19 + 12x + -5x = 8 + (-5)(5x + -6x) + 23

Combine like terms: 12x + -5x = 7x
19 + 7x = 8 + (-5)(5x + -6x) + 23

Combine like terms: 5x + -6x = -1x
19 + 7x = 8 + -5(-1x) + 23

Remove parenthesis around (-1x)
19 + 7x = 8 + -5 * -1x + 23

Multiply -5 * -1
19 + 7x = 8 + 5x + 23

Reorder the terms:
19 + 7x = 8 + 23 + 5x

Combine like terms: 8 + 23 = 31
19 + 7x = 31 + 5x

Solving
19 + 7x = 31 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
19 + 7x + -5x = 31 + 5x + -5x

Combine like terms: 7x + -5x = 2x
19 + 2x = 31 + 5x + -5x

Combine like terms: 5x + -5x = 0
19 + 2x = 31 + 0
19 + 2x = 31

Add '-19' to each side of the equation.
19 + -19 + 2x = 31 + -19

Combine like terms: 19 + -19 = 0
0 + 2x = 31 + -19
2x = 31 + -19

Combine like terms: 31 + -19 = 12
2x = 12

Divide each side by '2'.
x = 6

Simplifying
x = 6

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