3(x+7)-5=60-(5x+4)

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Solution for 3(x+7)-5=60-(5x+4) equation: 


Simplifying
3(x + 7) + -5 = 60 + -1(5x + 4)

Reorder the terms:
3(7 + x) + -5 = 60 + -1(5x + 4)
(7 * 3 + x * 3) + -5 = 60 + -1(5x + 4)
(21 + 3x) + -5 = 60 + -1(5x + 4)

Reorder the terms:
21 + -5 + 3x = 60 + -1(5x + 4)

Combine like terms: 21 + -5 = 16
16 + 3x = 60 + -1(5x + 4)

Reorder the terms:
16 + 3x = 60 + -1(4 + 5x)
16 + 3x = 60 + (4 * -1 + 5x * -1)
16 + 3x = 60 + (-4 + -5x)

Combine like terms: 60 + -4 = 56
16 + 3x = 56 + -5x

Solving
16 + 3x = 56 + -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.
16 + 3x + 5x = 56 + -5x + 5x

Combine like terms: 3x + 5x = 8x
16 + 8x = 56 + -5x + 5x

Combine like terms: -5x + 5x = 0
16 + 8x = 56 + 0
16 + 8x = 56

Add '-16' to each side of the equation.
16 + -16 + 8x = 56 + -16

Combine like terms: 16 + -16 = 0
0 + 8x = 56 + -16
8x = 56 + -16

Combine like terms: 56 + -16 = 40
8x = 40

Divide each side by '8'.
x = 5

Simplifying
x = 5

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