2(3x-5)+3(2x+1)=89

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Solution for 2(3x-5)+3(2x+1)=89 equation: 


Simplifying
2(3x + -5) + 3(2x + 1) = 89

Reorder the terms:
2(-5 + 3x) + 3(2x + 1) = 89
(-5 * 2 + 3x * 2) + 3(2x + 1) = 89
(-10 + 6x) + 3(2x + 1) = 89

Reorder the terms:
-10 + 6x + 3(1 + 2x) = 89
-10 + 6x + (1 * 3 + 2x * 3) = 89
-10 + 6x + (3 + 6x) = 89

Reorder the terms:
-10 + 3 + 6x + 6x = 89

Combine like terms: -10 + 3 = -7
-7 + 6x + 6x = 89

Combine like terms: 6x + 6x = 12x
-7 + 12x = 89

Solving
-7 + 12x = 89

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + 12x = 89 + 7

Combine like terms: -7 + 7 = 0
0 + 12x = 89 + 7
12x = 89 + 7

Combine like terms: 89 + 7 = 96
12x = 96

Divide each side by '12'.
x = 8

Simplifying
x = 8

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