3(2x+7)=10x-11

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Solution for 3(2x+7)=10x-11 equation:


Simplifying
3(2x + 7) = 10x + -11

Reorder the terms:
3(7 + 2x) = 10x + -11
(7 * 3 + 2x * 3) = 10x + -11
(21 + 6x) = 10x + -11

Reorder the terms:
21 + 6x = -11 + 10x

Solving
21 + 6x = -11 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
21 + 6x + -10x = -11 + 10x + -10x

Combine like terms: 6x + -10x = -4x
21 + -4x = -11 + 10x + -10x

Combine like terms: 10x + -10x = 0
21 + -4x = -11 + 0
21 + -4x = -11

Add '-21' to each side of the equation.
21 + -21 + -4x = -11 + -21

Combine like terms: 21 + -21 = 0
0 + -4x = -11 + -21
-4x = -11 + -21

Combine like terms: -11 + -21 = -32
-4x = -32

Divide each side by '-4'.
x = 8

Simplifying
x = 8

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