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

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


Simplifying
11 + 3(7 + x) = 7x + -2
11 + (7 * 3 + x * 3) = 7x + -2
11 + (21 + 3x) = 7x + -2

Combine like terms: 11 + 21 = 32
32 + 3x = 7x + -2

Reorder the terms:
32 + 3x = -2 + 7x

Solving
32 + 3x = -2 + 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.
32 + 3x + -7x = -2 + 7x + -7x

Combine like terms: 3x + -7x = -4x
32 + -4x = -2 + 7x + -7x

Combine like terms: 7x + -7x = 0
32 + -4x = -2 + 0
32 + -4x = -2

Add '-32' to each side of the equation.
32 + -32 + -4x = -2 + -32

Combine like terms: 32 + -32 = 0
0 + -4x = -2 + -32
-4x = -2 + -32

Combine like terms: -2 + -32 = -34
-4x = -34

Divide each side by '-4'.
x = 8.5

Simplifying
x = 8.5

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