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

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


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

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

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

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

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

Combine like terms: 3 + -4 = -1
5 + 2x = -1 + 10x + -6x

Combine like terms: 10x + -6x = 4x
5 + 2x = -1 + 4x

Solving
5 + 2x = -1 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
5 + 2x + -4x = -1 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
5 + -2x = -1 + 0
5 + -2x = -1

Add '-5' to each side of the equation.
5 + -5 + -2x = -1 + -5

Combine like terms: 5 + -5 = 0
0 + -2x = -1 + -5
-2x = -1 + -5

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

Divide each side by '-2'.
x = 3

Simplifying
x = 3

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