2(5x+1)+16=4+3(x-7)

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Solution for 2(5x+1)+16=4+3(x-7) equation:


Simplifying
2(5x + 1) + 16 = 4 + 3(x + -7)

Reorder the terms:
2(1 + 5x) + 16 = 4 + 3(x + -7)
(1 * 2 + 5x * 2) + 16 = 4 + 3(x + -7)
(2 + 10x) + 16 = 4 + 3(x + -7)

Reorder the terms:
2 + 16 + 10x = 4 + 3(x + -7)

Combine like terms: 2 + 16 = 18
18 + 10x = 4 + 3(x + -7)

Reorder the terms:
18 + 10x = 4 + 3(-7 + x)
18 + 10x = 4 + (-7 * 3 + x * 3)
18 + 10x = 4 + (-21 + 3x)

Combine like terms: 4 + -21 = -17
18 + 10x = -17 + 3x

Solving
18 + 10x = -17 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
18 + 10x + -3x = -17 + 3x + -3x

Combine like terms: 10x + -3x = 7x
18 + 7x = -17 + 3x + -3x

Combine like terms: 3x + -3x = 0
18 + 7x = -17 + 0
18 + 7x = -17

Add '-18' to each side of the equation.
18 + -18 + 7x = -17 + -18

Combine like terms: 18 + -18 = 0
0 + 7x = -17 + -18
7x = -17 + -18

Combine like terms: -17 + -18 = -35
7x = -35

Divide each side by '7'.
x = -5

Simplifying
x = -5

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