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

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


Simplifying
2 = (x + -3) + 7(x + 2)

Reorder the terms:
2 = (-3 + x) + 7(x + 2)

Remove parenthesis around (-3 + x)
2 = -3 + x + 7(x + 2)

Reorder the terms:
2 = -3 + x + 7(2 + x)
2 = -3 + x + (2 * 7 + x * 7)
2 = -3 + x + (14 + 7x)

Reorder the terms:
2 = -3 + 14 + x + 7x

Combine like terms: -3 + 14 = 11
2 = 11 + x + 7x

Combine like terms: x + 7x = 8x
2 = 11 + 8x

Solving
2 = 11 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
2 + -8x = 11 + 8x + -8x

Combine like terms: 8x + -8x = 0
2 + -8x = 11 + 0
2 + -8x = 11

Add '-2' to each side of the equation.
2 + -2 + -8x = 11 + -2

Combine like terms: 2 + -2 = 0
0 + -8x = 11 + -2
-8x = 11 + -2

Combine like terms: 11 + -2 = 9
-8x = 9

Divide each side by '-8'.
x = -1.125

Simplifying
x = -1.125

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