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

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


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

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

Combine like terms: 5 + -17 = -12
-12 + -1x + 4x = 7(x + -1)

Combine like terms: -1x + 4x = 3x
-12 + 3x = 7(x + -1)

Reorder the terms:
-12 + 3x = 7(-1 + x)
-12 + 3x = (-1 * 7 + x * 7)
-12 + 3x = (-7 + 7x)

Solving
-12 + 3x = -7 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-12 + 3x + -7x = -7 + 7x + -7x

Combine like terms: 3x + -7x = -4x
-12 + -4x = -7 + 7x + -7x

Combine like terms: 7x + -7x = 0
-12 + -4x = -7 + 0
-12 + -4x = -7

Add '12' to each side of the equation.
-12 + 12 + -4x = -7 + 12

Combine like terms: -12 + 12 = 0
0 + -4x = -7 + 12
-4x = -7 + 12

Combine like terms: -7 + 12 = 5
-4x = 5

Divide each side by '-4'.
x = -1.25

Simplifying
x = -1.25

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