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

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


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

Reorder the terms:
5(-2 + x) + 3 = 2(4 + -1x)
(-2 * 5 + x * 5) + 3 = 2(4 + -1x)
(-10 + 5x) + 3 = 2(4 + -1x)

Reorder the terms:
-10 + 3 + 5x = 2(4 + -1x)

Combine like terms: -10 + 3 = -7
-7 + 5x = 2(4 + -1x)
-7 + 5x = (4 * 2 + -1x * 2)
-7 + 5x = (8 + -2x)

Solving
-7 + 5x = 8 + -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.
-7 + 5x + 2x = 8 + -2x + 2x

Combine like terms: 5x + 2x = 7x
-7 + 7x = 8 + -2x + 2x

Combine like terms: -2x + 2x = 0
-7 + 7x = 8 + 0
-7 + 7x = 8

Add '7' to each side of the equation.
-7 + 7 + 7x = 8 + 7

Combine like terms: -7 + 7 = 0
0 + 7x = 8 + 7
7x = 8 + 7

Combine like terms: 8 + 7 = 15
7x = 15

Divide each side by '7'.
x = 2.142857143

Simplifying
x = 2.142857143

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