5(5-4x-6x)+6(7x+5)=7

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Solution for 5(5-4x-6x)+6(7x+5)=7 equation:


Simplifying
5(5 + -4x + -6x) + 6(7x + 5) = 7

Combine like terms: -4x + -6x = -10x
5(5 + -10x) + 6(7x + 5) = 7
(5 * 5 + -10x * 5) + 6(7x + 5) = 7
(25 + -50x) + 6(7x + 5) = 7

Reorder the terms:
25 + -50x + 6(5 + 7x) = 7
25 + -50x + (5 * 6 + 7x * 6) = 7
25 + -50x + (30 + 42x) = 7

Reorder the terms:
25 + 30 + -50x + 42x = 7

Combine like terms: 25 + 30 = 55
55 + -50x + 42x = 7

Combine like terms: -50x + 42x = -8x
55 + -8x = 7

Solving
55 + -8x = 7

Solving for variable 'x'.

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

Add '-55' to each side of the equation.
55 + -55 + -8x = 7 + -55

Combine like terms: 55 + -55 = 0
0 + -8x = 7 + -55
-8x = 7 + -55

Combine like terms: 7 + -55 = -48
-8x = -48

Divide each side by '-8'.
x = 6

Simplifying
x = 6

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