2(x+4)+3(5-3x)=2

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Solution for 2(x+4)+3(5-3x)=2 equation: 


Simplifying
2(x + 4) + 3(5 + -3x) = 2

Reorder the terms:
2(4 + x) + 3(5 + -3x) = 2
(4 * 2 + x * 2) + 3(5 + -3x) = 2
(8 + 2x) + 3(5 + -3x) = 2
8 + 2x + (5 * 3 + -3x * 3) = 2
8 + 2x + (15 + -9x) = 2

Reorder the terms:
8 + 15 + 2x + -9x = 2

Combine like terms: 8 + 15 = 23
23 + 2x + -9x = 2

Combine like terms: 2x + -9x = -7x
23 + -7x = 2

Solving
23 + -7x = 2

Solving for variable 'x'.

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

Add '-23' to each side of the equation.
23 + -23 + -7x = 2 + -23

Combine like terms: 23 + -23 = 0
0 + -7x = 2 + -23
-7x = 2 + -23

Combine like terms: 2 + -23 = -21
-7x = -21

Divide each side by '-7'.
x = 3

Simplifying
x = 3

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