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

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


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

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

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

Combine like terms: -4 + 17 = 13
13 + 4x = 5(x + 3)

Reorder the terms:
13 + 4x = 5(3 + x)
13 + 4x = (3 * 5 + x * 5)
13 + 4x = (15 + 5x)

Solving
13 + 4x = 15 + 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.
13 + 4x + -5x = 15 + 5x + -5x

Combine like terms: 4x + -5x = -1x
13 + -1x = 15 + 5x + -5x

Combine like terms: 5x + -5x = 0
13 + -1x = 15 + 0
13 + -1x = 15

Add '-13' to each side of the equation.
13 + -13 + -1x = 15 + -13

Combine like terms: 13 + -13 = 0
0 + -1x = 15 + -13
-1x = 15 + -13

Combine like terms: 15 + -13 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2

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