7(3x+8)-2(3x+8)=55

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Solution for 7(3x+8)-2(3x+8)=55 equation: 


Simplifying
7(3x + 8) + -2(3x + 8) = 55

Reorder the terms:
7(8 + 3x) + -2(3x + 8) = 55
(8 * 7 + 3x * 7) + -2(3x + 8) = 55
(56 + 21x) + -2(3x + 8) = 55

Reorder the terms:
56 + 21x + -2(8 + 3x) = 55
56 + 21x + (8 * -2 + 3x * -2) = 55
56 + 21x + (-16 + -6x) = 55

Reorder the terms:
56 + -16 + 21x + -6x = 55

Combine like terms: 56 + -16 = 40
40 + 21x + -6x = 55

Combine like terms: 21x + -6x = 15x
40 + 15x = 55

Solving
40 + 15x = 55

Solving for variable 'x'.

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

Add '-40' to each side of the equation.
40 + -40 + 15x = 55 + -40

Combine like terms: 40 + -40 = 0
0 + 15x = 55 + -40
15x = 55 + -40

Combine like terms: 55 + -40 = 15
15x = 15

Divide each side by '15'.
x = 1

Simplifying
x = 1

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