4(6-8x-9x)+7(9x+2)=23

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Solution for 4(6-8x-9x)+7(9x+2)=23 equation:


Simplifying
4(6 + -8x + -9x) + 7(9x + 2) = 23

Combine like terms: -8x + -9x = -17x
4(6 + -17x) + 7(9x + 2) = 23
(6 * 4 + -17x * 4) + 7(9x + 2) = 23
(24 + -68x) + 7(9x + 2) = 23

Reorder the terms:
24 + -68x + 7(2 + 9x) = 23
24 + -68x + (2 * 7 + 9x * 7) = 23
24 + -68x + (14 + 63x) = 23

Reorder the terms:
24 + 14 + -68x + 63x = 23

Combine like terms: 24 + 14 = 38
38 + -68x + 63x = 23

Combine like terms: -68x + 63x = -5x
38 + -5x = 23

Solving
38 + -5x = 23

Solving for variable 'x'.

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

Add '-38' to each side of the equation.
38 + -38 + -5x = 23 + -38

Combine like terms: 38 + -38 = 0
0 + -5x = 23 + -38
-5x = 23 + -38

Combine like terms: 23 + -38 = -15
-5x = -15

Divide each side by '-5'.
x = 3

Simplifying
x = 3

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