6(x-5)-7=32-5x-9+16

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Solution for 6(x-5)-7=32-5x-9+16 equation: 


Simplifying
6(x + -5) + -7 = 32 + -5x + -9 + 16

Reorder the terms:
6(-5 + x) + -7 = 32 + -5x + -9 + 16
(-5 * 6 + x * 6) + -7 = 32 + -5x + -9 + 16
(-30 + 6x) + -7 = 32 + -5x + -9 + 16

Reorder the terms:
-30 + -7 + 6x = 32 + -5x + -9 + 16

Combine like terms: -30 + -7 = -37
-37 + 6x = 32 + -5x + -9 + 16

Reorder the terms:
-37 + 6x = 32 + -9 + 16 + -5x

Combine like terms: 32 + -9 = 23
-37 + 6x = 23 + 16 + -5x

Combine like terms: 23 + 16 = 39
-37 + 6x = 39 + -5x

Solving
-37 + 6x = 39 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-37 + 6x + 5x = 39 + -5x + 5x

Combine like terms: 6x + 5x = 11x
-37 + 11x = 39 + -5x + 5x

Combine like terms: -5x + 5x = 0
-37 + 11x = 39 + 0
-37 + 11x = 39

Add '37' to each side of the equation.
-37 + 37 + 11x = 39 + 37

Combine like terms: -37 + 37 = 0
0 + 11x = 39 + 37
11x = 39 + 37

Combine like terms: 39 + 37 = 76
11x = 76

Divide each side by '11'.
x = 6.909090909

Simplifying
x = 6.909090909

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