2x+3x+4x-5=7x+6-10

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Solution for 2x+3x+4x-5=7x+6-10 equation:


Simplifying
2x + 3x + 4x + -5 = 7x + 6 + -10

Reorder the terms:
-5 + 2x + 3x + 4x = 7x + 6 + -10

Combine like terms: 2x + 3x = 5x
-5 + 5x + 4x = 7x + 6 + -10

Combine like terms: 5x + 4x = 9x
-5 + 9x = 7x + 6 + -10

Reorder the terms:
-5 + 9x = 6 + -10 + 7x

Combine like terms: 6 + -10 = -4
-5 + 9x = -4 + 7x

Solving
-5 + 9x = -4 + 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.
-5 + 9x + -7x = -4 + 7x + -7x

Combine like terms: 9x + -7x = 2x
-5 + 2x = -4 + 7x + -7x

Combine like terms: 7x + -7x = 0
-5 + 2x = -4 + 0
-5 + 2x = -4

Add '5' to each side of the equation.
-5 + 5 + 2x = -4 + 5

Combine like terms: -5 + 5 = 0
0 + 2x = -4 + 5
2x = -4 + 5

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

Divide each side by '2'.
x = 0.5

Simplifying
x = 0.5

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