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

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Solution for 2+1(x+5)-7=3(x-2) equation:


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

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

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

Combine like terms: 2 + 5 = 7
7 + -7 + 1x = 3(x + -2)

Combine like terms: 7 + -7 = 0
0 + 1x = 3(x + -2)
1x = 3(x + -2)

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

Solving
1x = -6 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
1x + -3x = -6 + 3x + -3x

Combine like terms: 1x + -3x = -2x
-2x = -6 + 3x + -3x

Combine like terms: 3x + -3x = 0
-2x = -6 + 0
-2x = -6

Divide each side by '-2'.
x = 3

Simplifying
x = 3

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