4x+10-3x=9+3x-7

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Solution for 4x+10-3x=9+3x-7 equation:


Simplifying
4x + 10 + -3x = 9 + 3x + -7

Reorder the terms:
10 + 4x + -3x = 9 + 3x + -7

Combine like terms: 4x + -3x = 1x
10 + 1x = 9 + 3x + -7

Reorder the terms:
10 + 1x = 9 + -7 + 3x

Combine like terms: 9 + -7 = 2
10 + 1x = 2 + 3x

Solving
10 + 1x = 2 + 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.
10 + 1x + -3x = 2 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
10 + -2x = 2 + 0
10 + -2x = 2

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

Combine like terms: 10 + -10 = 0
0 + -2x = 2 + -10
-2x = 2 + -10

Combine like terms: 2 + -10 = -8
-2x = -8

Divide each side by '-2'.
x = 4

Simplifying
x = 4

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