3x+2(x-7)=6x-11

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Solution for 3x+2(x-7)=6x-11 equation:


Simplifying
3x + 2(x + -7) = 6x + -11

Reorder the terms:
3x + 2(-7 + x) = 6x + -11
3x + (-7 * 2 + x * 2) = 6x + -11
3x + (-14 + 2x) = 6x + -11

Reorder the terms:
-14 + 3x + 2x = 6x + -11

Combine like terms: 3x + 2x = 5x
-14 + 5x = 6x + -11

Reorder the terms:
-14 + 5x = -11 + 6x

Solving
-14 + 5x = -11 + 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.
-14 + 5x + -6x = -11 + 6x + -6x

Combine like terms: 5x + -6x = -1x
-14 + -1x = -11 + 6x + -6x

Combine like terms: 6x + -6x = 0
-14 + -1x = -11 + 0
-14 + -1x = -11

Add '14' to each side of the equation.
-14 + 14 + -1x = -11 + 14

Combine like terms: -14 + 14 = 0
0 + -1x = -11 + 14
-1x = -11 + 14

Combine like terms: -11 + 14 = 3
-1x = 3

Divide each side by '-1'.
x = -3

Simplifying
x = -3

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