7(2x+1)-2(3x-2)+5=0

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Solution for 7(2x+1)-2(3x-2)+5=0 equation: 


Simplifying
7(2x + 1) + -2(3x + -2) + 5 = 0

Reorder the terms:
7(1 + 2x) + -2(3x + -2) + 5 = 0
(1 * 7 + 2x * 7) + -2(3x + -2) + 5 = 0
(7 + 14x) + -2(3x + -2) + 5 = 0

Reorder the terms:
7 + 14x + -2(-2 + 3x) + 5 = 0
7 + 14x + (-2 * -2 + 3x * -2) + 5 = 0
7 + 14x + (4 + -6x) + 5 = 0

Reorder the terms:
7 + 4 + 5 + 14x + -6x = 0

Combine like terms: 7 + 4 = 11
11 + 5 + 14x + -6x = 0

Combine like terms: 11 + 5 = 16
16 + 14x + -6x = 0

Combine like terms: 14x + -6x = 8x
16 + 8x = 0

Solving
16 + 8x = 0

Solving for variable 'x'.

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

Add '-16' to each side of the equation.
16 + -16 + 8x = 0 + -16

Combine like terms: 16 + -16 = 0
0 + 8x = 0 + -16
8x = 0 + -16

Combine like terms: 0 + -16 = -16
8x = -16

Divide each side by '8'.
x = -2

Simplifying
x = -2

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