7x-5=(x+1)+2x-10

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Solution for 7x-5=(x+1)+2x-10 equation:


Simplifying
7x + -5 = (x + 1) + 2x + -10

Reorder the terms:
-5 + 7x = (x + 1) + 2x + -10

Reorder the terms:
-5 + 7x = (1 + x) + 2x + -10

Remove parenthesis around (1 + x)
-5 + 7x = 1 + x + 2x + -10

Reorder the terms:
-5 + 7x = 1 + -10 + x + 2x

Combine like terms: 1 + -10 = -9
-5 + 7x = -9 + x + 2x

Combine like terms: x + 2x = 3x
-5 + 7x = -9 + 3x

Solving
-5 + 7x = -9 + 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.
-5 + 7x + -3x = -9 + 3x + -3x

Combine like terms: 7x + -3x = 4x
-5 + 4x = -9 + 3x + -3x

Combine like terms: 3x + -3x = 0
-5 + 4x = -9 + 0
-5 + 4x = -9

Add '5' to each side of the equation.
-5 + 5 + 4x = -9 + 5

Combine like terms: -5 + 5 = 0
0 + 4x = -9 + 5
4x = -9 + 5

Combine like terms: -9 + 5 = -4
4x = -4

Divide each side by '4'.
x = -1

Simplifying
x = -1

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