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

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


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

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

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

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

Combine like terms: -5 + 1 = -4
-4 + 2x = 7x + 10

Reorder the terms:
-4 + 2x = 10 + 7x

Solving
-4 + 2x = 10 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-4 + 2x + -7x = 10 + 7x + -7x

Combine like terms: 2x + -7x = -5x
-4 + -5x = 10 + 7x + -7x

Combine like terms: 7x + -7x = 0
-4 + -5x = 10 + 0
-4 + -5x = 10

Add '4' to each side of the equation.
-4 + 4 + -5x = 10 + 4

Combine like terms: -4 + 4 = 0
0 + -5x = 10 + 4
-5x = 10 + 4

Combine like terms: 10 + 4 = 14
-5x = 14

Divide each side by '-5'.
x = -2.8

Simplifying
x = -2.8

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