5x-6+7-2x=7x-10

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Solution for 5x-6+7-2x=7x-10 equation:


Simplifying
5x + -6 + 7 + -2x = 7x + -10

Reorder the terms:
-6 + 7 + 5x + -2x = 7x + -10

Combine like terms: -6 + 7 = 1
1 + 5x + -2x = 7x + -10

Combine like terms: 5x + -2x = 3x
1 + 3x = 7x + -10

Reorder the terms:
1 + 3x = -10 + 7x

Solving
1 + 3x = -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.
1 + 3x + -7x = -10 + 7x + -7x

Combine like terms: 3x + -7x = -4x
1 + -4x = -10 + 7x + -7x

Combine like terms: 7x + -7x = 0
1 + -4x = -10 + 0
1 + -4x = -10

Add '-1' to each side of the equation.
1 + -1 + -4x = -10 + -1

Combine like terms: 1 + -1 = 0
0 + -4x = -10 + -1
-4x = -10 + -1

Combine like terms: -10 + -1 = -11
-4x = -11

Divide each side by '-4'.
x = 2.75

Simplifying
x = 2.75

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