7=(x+3)+(2x-13)

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Solution for 7=(x+3)+(2x-13) equation:


Simplifying
7 = (x + 3) + (2x + -13)

Reorder the terms:
7 = (3 + x) + (2x + -13)

Remove parenthesis around (3 + x)
7 = 3 + x + (2x + -13)

Reorder the terms:
7 = 3 + x + (-13 + 2x)

Remove parenthesis around (-13 + 2x)
7 = 3 + x + -13 + 2x

Reorder the terms:
7 = 3 + -13 + x + 2x

Combine like terms: 3 + -13 = -10
7 = -10 + x + 2x

Combine like terms: x + 2x = 3x
7 = -10 + 3x

Solving
7 = -10 + 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.
7 + -3x = -10 + 3x + -3x

Combine like terms: 3x + -3x = 0
7 + -3x = -10 + 0
7 + -3x = -10

Add '-7' to each side of the equation.
7 + -7 + -3x = -10 + -7

Combine like terms: 7 + -7 = 0
0 + -3x = -10 + -7
-3x = -10 + -7

Combine like terms: -10 + -7 = -17
-3x = -17

Divide each side by '-3'.
x = 5.666666667

Simplifying
x = 5.666666667

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