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

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


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

Reorder the terms:
5(-4 + x) + 3 = 7 + -1(2x + 4)
(-4 * 5 + x * 5) + 3 = 7 + -1(2x + 4)
(-20 + 5x) + 3 = 7 + -1(2x + 4)

Reorder the terms:
-20 + 3 + 5x = 7 + -1(2x + 4)

Combine like terms: -20 + 3 = -17
-17 + 5x = 7 + -1(2x + 4)

Reorder the terms:
-17 + 5x = 7 + -1(4 + 2x)
-17 + 5x = 7 + (4 * -1 + 2x * -1)
-17 + 5x = 7 + (-4 + -2x)

Combine like terms: 7 + -4 = 3
-17 + 5x = 3 + -2x

Solving
-17 + 5x = 3 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-17 + 5x + 2x = 3 + -2x + 2x

Combine like terms: 5x + 2x = 7x
-17 + 7x = 3 + -2x + 2x

Combine like terms: -2x + 2x = 0
-17 + 7x = 3 + 0
-17 + 7x = 3

Add '17' to each side of the equation.
-17 + 17 + 7x = 3 + 17

Combine like terms: -17 + 17 = 0
0 + 7x = 3 + 17
7x = 3 + 17

Combine like terms: 3 + 17 = 20
7x = 20

Divide each side by '7'.
x = 2.857142857

Simplifying
x = 2.857142857

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