10x+3=4x-2

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


Simplifying
10x + 3 = 4x + -2

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

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

Solving
3 + 10x = -2 + 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.
3 + 10x + -4x = -2 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
3 + 6x = -2 + 0
3 + 6x = -2

Add '-3' to each side of the equation.
3 + -3 + 6x = -2 + -3

Combine like terms: 3 + -3 = 0
0 + 6x = -2 + -3
6x = -2 + -3

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

Divide each side by '6'.
x = -0.8333333333

Simplifying
x = -0.8333333333

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