2(x-1)+3(2x+3)=30

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Solution for 2(x-1)+3(2x+3)=30 equation: 


Simplifying
2(x + -1) + 3(2x + 3) = 30

Reorder the terms:
2(-1 + x) + 3(2x + 3) = 30
(-1 * 2 + x * 2) + 3(2x + 3) = 30
(-2 + 2x) + 3(2x + 3) = 30

Reorder the terms:
-2 + 2x + 3(3 + 2x) = 30
-2 + 2x + (3 * 3 + 2x * 3) = 30
-2 + 2x + (9 + 6x) = 30

Reorder the terms:
-2 + 9 + 2x + 6x = 30

Combine like terms: -2 + 9 = 7
7 + 2x + 6x = 30

Combine like terms: 2x + 6x = 8x
7 + 8x = 30

Solving
7 + 8x = 30

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 + 8x = 30 + -7

Combine like terms: 7 + -7 = 0
0 + 8x = 30 + -7
8x = 30 + -7

Combine like terms: 30 + -7 = 23
8x = 23

Divide each side by '8'.
x = 2.875

Simplifying
x = 2.875

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