2(x+4)+3(2x-5)-5=0

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Solution for 2(x+4)+3(2x-5)-5=0 equation:


Simplifying
2(x + 4) + 3(2x + -5) + -5 = 0

Reorder the terms:
2(4 + x) + 3(2x + -5) + -5 = 0
(4 * 2 + x * 2) + 3(2x + -5) + -5 = 0
(8 + 2x) + 3(2x + -5) + -5 = 0

Reorder the terms:
8 + 2x + 3(-5 + 2x) + -5 = 0
8 + 2x + (-5 * 3 + 2x * 3) + -5 = 0
8 + 2x + (-15 + 6x) + -5 = 0

Reorder the terms:
8 + -15 + -5 + 2x + 6x = 0

Combine like terms: 8 + -15 = -7
-7 + -5 + 2x + 6x = 0

Combine like terms: -7 + -5 = -12
-12 + 2x + 6x = 0

Combine like terms: 2x + 6x = 8x
-12 + 8x = 0

Solving
-12 + 8x = 0

Solving for variable 'x'.

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

Add '12' to each side of the equation.
-12 + 12 + 8x = 0 + 12

Combine like terms: -12 + 12 = 0
0 + 8x = 0 + 12
8x = 0 + 12

Combine like terms: 0 + 12 = 12
8x = 12

Divide each side by '8'.
x = 1.5

Simplifying
x = 1.5

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