7x-2(3x-7)=8+5(3-x)

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Solution for 7x-2(3x-7)=8+5(3-x) equation:


Simplifying
7x + -2(3x + -7) = 8 + 5(3 + -1x)

Reorder the terms:
7x + -2(-7 + 3x) = 8 + 5(3 + -1x)
7x + (-7 * -2 + 3x * -2) = 8 + 5(3 + -1x)
7x + (14 + -6x) = 8 + 5(3 + -1x)

Reorder the terms:
14 + 7x + -6x = 8 + 5(3 + -1x)

Combine like terms: 7x + -6x = 1x
14 + 1x = 8 + 5(3 + -1x)
14 + 1x = 8 + (3 * 5 + -1x * 5)
14 + 1x = 8 + (15 + -5x)

Combine like terms: 8 + 15 = 23
14 + 1x = 23 + -5x

Solving
14 + 1x = 23 + -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.
14 + 1x + 5x = 23 + -5x + 5x

Combine like terms: 1x + 5x = 6x
14 + 6x = 23 + -5x + 5x

Combine like terms: -5x + 5x = 0
14 + 6x = 23 + 0
14 + 6x = 23

Add '-14' to each side of the equation.
14 + -14 + 6x = 23 + -14

Combine like terms: 14 + -14 = 0
0 + 6x = 23 + -14
6x = 23 + -14

Combine like terms: 23 + -14 = 9
6x = 9

Divide each side by '6'.
x = 1.5

Simplifying
x = 1.5

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