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

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


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

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

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

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

Reorder the terms:
-2 + 10x = 3(-7 + x) + -16
-2 + 10x = (-7 * 3 + x * 3) + -16
-2 + 10x = (-21 + 3x) + -16

Reorder the terms:
-2 + 10x = -21 + -16 + 3x

Combine like terms: -21 + -16 = -37
-2 + 10x = -37 + 3x

Solving
-2 + 10x = -37 + 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.
-2 + 10x + -3x = -37 + 3x + -3x

Combine like terms: 10x + -3x = 7x
-2 + 7x = -37 + 3x + -3x

Combine like terms: 3x + -3x = 0
-2 + 7x = -37 + 0
-2 + 7x = -37

Add '2' to each side of the equation.
-2 + 2 + 7x = -37 + 2

Combine like terms: -2 + 2 = 0
0 + 7x = -37 + 2
7x = -37 + 2

Combine like terms: -37 + 2 = -35
7x = -35

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

Simplifying
x = -5

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