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

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


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

Reorder the terms:
2(3 + x) + -5(2x + 1) = 5
(3 * 2 + x * 2) + -5(2x + 1) = 5
(6 + 2x) + -5(2x + 1) = 5

Reorder the terms:
6 + 2x + -5(1 + 2x) = 5
6 + 2x + (1 * -5 + 2x * -5) = 5
6 + 2x + (-5 + -10x) = 5

Reorder the terms:
6 + -5 + 2x + -10x = 5

Combine like terms: 6 + -5 = 1
1 + 2x + -10x = 5

Combine like terms: 2x + -10x = -8x
1 + -8x = 5

Solving
1 + -8x = 5

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + -8x = 5 + -1

Combine like terms: 1 + -1 = 0
0 + -8x = 5 + -1
-8x = 5 + -1

Combine like terms: 5 + -1 = 4
-8x = 4

Divide each side by '-8'.
x = -0.5

Simplifying
x = -0.5

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