4(5x-3)+49=16x+1

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Solution for 4(5x-3)+49=16x+1 equation:


Simplifying
4(5x + -3) + 49 = 16x + 1

Reorder the terms:
4(-3 + 5x) + 49 = 16x + 1
(-3 * 4 + 5x * 4) + 49 = 16x + 1
(-12 + 20x) + 49 = 16x + 1

Reorder the terms:
-12 + 49 + 20x = 16x + 1

Combine like terms: -12 + 49 = 37
37 + 20x = 16x + 1

Reorder the terms:
37 + 20x = 1 + 16x

Solving
37 + 20x = 1 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
37 + 20x + -16x = 1 + 16x + -16x

Combine like terms: 20x + -16x = 4x
37 + 4x = 1 + 16x + -16x

Combine like terms: 16x + -16x = 0
37 + 4x = 1 + 0
37 + 4x = 1

Add '-37' to each side of the equation.
37 + -37 + 4x = 1 + -37

Combine like terms: 37 + -37 = 0
0 + 4x = 1 + -37
4x = 1 + -37

Combine like terms: 1 + -37 = -36
4x = -36

Divide each side by '4'.
x = -9

Simplifying
x = -9

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