2x+6(6)=3x+5(5)

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Solution for 2x+6(6)=3x+5(5) equation:


Simplifying
2x + 6(6) = 3x + 5(5)

Multiply 6 * 6
2x + 36 = 3x + 5(5)

Reorder the terms:
36 + 2x = 3x + 5(5)

Multiply 5 * 5
36 + 2x = 3x + 25

Reorder the terms:
36 + 2x = 25 + 3x

Solving
36 + 2x = 25 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
36 + 2x + -3x = 25 + 3x + -3x

Combine like terms: 2x + -3x = -1x
36 + -1x = 25 + 3x + -3x

Combine like terms: 3x + -3x = 0
36 + -1x = 25 + 0
36 + -1x = 25

Add '-36' to each side of the equation.
36 + -36 + -1x = 25 + -36

Combine like terms: 36 + -36 = 0
0 + -1x = 25 + -36
-1x = 25 + -36

Combine like terms: 25 + -36 = -11
-1x = -11

Divide each side by '-1'.
x = 11

Simplifying
x = 11

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