3x+17-1=4(5x+7)

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Solution for 3x+17-1=4(5x+7) equation:


Simplifying
3x + 17 + -1 = 4(5x + 7)

Reorder the terms:
17 + -1 + 3x = 4(5x + 7)

Combine like terms: 17 + -1 = 16
16 + 3x = 4(5x + 7)

Reorder the terms:
16 + 3x = 4(7 + 5x)
16 + 3x = (7 * 4 + 5x * 4)
16 + 3x = (28 + 20x)

Solving
16 + 3x = 28 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
16 + 3x + -20x = 28 + 20x + -20x

Combine like terms: 3x + -20x = -17x
16 + -17x = 28 + 20x + -20x

Combine like terms: 20x + -20x = 0
16 + -17x = 28 + 0
16 + -17x = 28

Add '-16' to each side of the equation.
16 + -16 + -17x = 28 + -16

Combine like terms: 16 + -16 = 0
0 + -17x = 28 + -16
-17x = 28 + -16

Combine like terms: 28 + -16 = 12
-17x = 12

Divide each side by '-17'.
x = -0.7058823529

Simplifying
x = -0.7058823529

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