4(3x+x)+7-5x=9+(-5)(5x-6)+23

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Solution for 4(3x+x)+7-5x=9+(-5)(5x-6)+23 equation:


Simplifying
4(3x + x) + 7 + -5x = 9 + (-5)(5x + -6) + 23

Combine like terms: 3x + x = 4x
4(4x) + 7 + -5x = 9 + (-5)(5x + -6) + 23

Remove parenthesis around (4x)
4 * 4x + 7 + -5x = 9 + (-5)(5x + -6) + 23

Multiply 4 * 4
16x + 7 + -5x = 9 + (-5)(5x + -6) + 23

Reorder the terms:
7 + 16x + -5x = 9 + (-5)(5x + -6) + 23

Combine like terms: 16x + -5x = 11x
7 + 11x = 9 + (-5)(5x + -6) + 23

Reorder the terms:
7 + 11x = 9 + -5(-6 + 5x) + 23
7 + 11x = 9 + (-6 * -5 + 5x * -5) + 23
7 + 11x = 9 + (30 + -25x) + 23

Reorder the terms:
7 + 11x = 9 + 30 + 23 + -25x

Combine like terms: 9 + 30 = 39
7 + 11x = 39 + 23 + -25x

Combine like terms: 39 + 23 = 62
7 + 11x = 62 + -25x

Solving
7 + 11x = 62 + -25x

Solving for variable 'x'.

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

Add '25x' to each side of the equation.
7 + 11x + 25x = 62 + -25x + 25x

Combine like terms: 11x + 25x = 36x
7 + 36x = 62 + -25x + 25x

Combine like terms: -25x + 25x = 0
7 + 36x = 62 + 0
7 + 36x = 62

Add '-7' to each side of the equation.
7 + -7 + 36x = 62 + -7

Combine like terms: 7 + -7 = 0
0 + 36x = 62 + -7
36x = 62 + -7

Combine like terms: 62 + -7 = 55
36x = 55

Divide each side by '36'.
x = 1.527777778

Simplifying
x = 1.527777778

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