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

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


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

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

Reorder the terms:
-6 + 2x + 3x = 6x + 5

Combine like terms: 2x + 3x = 5x
-6 + 5x = 6x + 5

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

Solving
-6 + 5x = 5 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-6 + 5x + -6x = 5 + 6x + -6x

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

Combine like terms: 6x + -6x = 0
-6 + -1x = 5 + 0
-6 + -1x = 5

Add '6' to each side of the equation.
-6 + 6 + -1x = 5 + 6

Combine like terms: -6 + 6 = 0
0 + -1x = 5 + 6
-1x = 5 + 6

Combine like terms: 5 + 6 = 11
-1x = 11

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

Simplifying
x = -11

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