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

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


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

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

Reorder the terms:
8 + 2x + 3(-5 + 2x) = 5
8 + 2x + (-5 * 3 + 2x * 3) = 5
8 + 2x + (-15 + 6x) = 5

Reorder the terms:
8 + -15 + 2x + 6x = 5

Combine like terms: 8 + -15 = -7
-7 + 2x + 6x = 5

Combine like terms: 2x + 6x = 8x
-7 + 8x = 5

Solving
-7 + 8x = 5

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 = 5 + 7

Combine like terms: -7 + 7 = 0
0 + 8x = 5 + 7
8x = 5 + 7

Combine like terms: 5 + 7 = 12
8x = 12

Divide each side by '8'.
x = 1.5

Simplifying
x = 1.5

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