2(x+6)=7x+5

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Solution for 2(x+6)=7x+5 equation:


Simplifying
2(x + 6) = 7x + 5

Reorder the terms:
2(6 + x) = 7x + 5
(6 * 2 + x * 2) = 7x + 5
(12 + 2x) = 7x + 5

Reorder the terms:
12 + 2x = 5 + 7x

Solving
12 + 2x = 5 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
12 + 2x + -7x = 5 + 7x + -7x

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

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

Add '-12' to each side of the equation.
12 + -12 + -5x = 5 + -12

Combine like terms: 12 + -12 = 0
0 + -5x = 5 + -12
-5x = 5 + -12

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

Divide each side by '-5'.
x = 1.4

Simplifying
x = 1.4

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