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

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


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

Combine like terms: 3x + x = 4x
4(4x) + 7 + -5x = 8 + (-5)(5x + -6x) + 23

Remove parenthesis around (4x)
4 * 4x + 7 + -5x = 8 + (-5)(5x + -6x) + 23

Multiply 4 * 4
16x + 7 + -5x = 8 + (-5)(5x + -6x) + 23

Reorder the terms:
7 + 16x + -5x = 8 + (-5)(5x + -6x) + 23

Combine like terms: 16x + -5x = 11x
7 + 11x = 8 + (-5)(5x + -6x) + 23

Combine like terms: 5x + -6x = -1x
7 + 11x = 8 + -5(-1x) + 23

Remove parenthesis around (-1x)
7 + 11x = 8 + -5 * -1x + 23

Multiply -5 * -1
7 + 11x = 8 + 5x + 23

Reorder the terms:
7 + 11x = 8 + 23 + 5x

Combine like terms: 8 + 23 = 31
7 + 11x = 31 + 5x

Solving
7 + 11x = 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.
7 + 11x + -5x = 31 + 5x + -5x

Combine like terms: 11x + -5x = 6x
7 + 6x = 31 + 5x + -5x

Combine like terms: 5x + -5x = 0
7 + 6x = 31 + 0
7 + 6x = 31

Add '-7' to each side of the equation.
7 + -7 + 6x = 31 + -7

Combine like terms: 7 + -7 = 0
0 + 6x = 31 + -7
6x = 31 + -7

Combine like terms: 31 + -7 = 24
6x = 24

Divide each side by '6'.
x = 4

Simplifying
x = 4

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