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

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


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

Reorder the terms:
2(3 + x) + -5 = 7(4 + -1x)
(3 * 2 + x * 2) + -5 = 7(4 + -1x)
(6 + 2x) + -5 = 7(4 + -1x)

Reorder the terms:
6 + -5 + 2x = 7(4 + -1x)

Combine like terms: 6 + -5 = 1
1 + 2x = 7(4 + -1x)
1 + 2x = (4 * 7 + -1x * 7)
1 + 2x = (28 + -7x)

Solving
1 + 2x = 28 + -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.
1 + 2x + 7x = 28 + -7x + 7x

Combine like terms: 2x + 7x = 9x
1 + 9x = 28 + -7x + 7x

Combine like terms: -7x + 7x = 0
1 + 9x = 28 + 0
1 + 9x = 28

Add '-1' to each side of the equation.
1 + -1 + 9x = 28 + -1

Combine like terms: 1 + -1 = 0
0 + 9x = 28 + -1
9x = 28 + -1

Combine like terms: 28 + -1 = 27
9x = 27

Divide each side by '9'.
x = 3

Simplifying
x = 3

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