11+8x=3(5x+2)-2

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Solution for 11+8x=3(5x+2)-2 equation: 


Simplifying
11 + 8x = 3(5x + 2) + -2

Reorder the terms:
11 + 8x = 3(2 + 5x) + -2
11 + 8x = (2 * 3 + 5x * 3) + -2
11 + 8x = (6 + 15x) + -2

Reorder the terms:
11 + 8x = 6 + -2 + 15x

Combine like terms: 6 + -2 = 4
11 + 8x = 4 + 15x

Solving
11 + 8x = 4 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
11 + 8x + -15x = 4 + 15x + -15x

Combine like terms: 8x + -15x = -7x
11 + -7x = 4 + 15x + -15x

Combine like terms: 15x + -15x = 0
11 + -7x = 4 + 0
11 + -7x = 4

Add '-11' to each side of the equation.
11 + -11 + -7x = 4 + -11

Combine like terms: 11 + -11 = 0
0 + -7x = 4 + -11
-7x = 4 + -11

Combine like terms: 4 + -11 = -7
-7x = -7

Divide each side by '-7'.
x = 1

Simplifying
x = 1

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