8+2x=5(x+3)-4(x-2)

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Solution for 8+2x=5(x+3)-4(x-2) equation:


Simplifying
8 + 2x = 5(x + 3) + -4(x + -2)

Reorder the terms:
8 + 2x = 5(3 + x) + -4(x + -2)
8 + 2x = (3 * 5 + x * 5) + -4(x + -2)
8 + 2x = (15 + 5x) + -4(x + -2)

Reorder the terms:
8 + 2x = 15 + 5x + -4(-2 + x)
8 + 2x = 15 + 5x + (-2 * -4 + x * -4)
8 + 2x = 15 + 5x + (8 + -4x)

Reorder the terms:
8 + 2x = 15 + 8 + 5x + -4x

Combine like terms: 15 + 8 = 23
8 + 2x = 23 + 5x + -4x

Combine like terms: 5x + -4x = 1x
8 + 2x = 23 + 1x

Solving
8 + 2x = 23 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
8 + 2x + -1x = 23 + 1x + -1x

Combine like terms: 2x + -1x = 1x
8 + 1x = 23 + 1x + -1x

Combine like terms: 1x + -1x = 0
8 + 1x = 23 + 0
8 + 1x = 23

Add '-8' to each side of the equation.
8 + -8 + 1x = 23 + -8

Combine like terms: 8 + -8 = 0
0 + 1x = 23 + -8
1x = 23 + -8

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

Divide each side by '1'.
x = 15

Simplifying
x = 15

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