3x-5(x+2)=4x-2

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Solution for 3x-5(x+2)=4x-2 equation:


Simplifying
3x + -5(x + 2) = 4x + -2

Reorder the terms:
3x + -5(2 + x) = 4x + -2
3x + (2 * -5 + x * -5) = 4x + -2
3x + (-10 + -5x) = 4x + -2

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

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

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

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

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

Combine like terms: 4x + -4x = 0
-10 + -6x = -2 + 0
-10 + -6x = -2

Add '10' to each side of the equation.
-10 + 10 + -6x = -2 + 10

Combine like terms: -10 + 10 = 0
0 + -6x = -2 + 10
-6x = -2 + 10

Combine like terms: -2 + 10 = 8
-6x = 8

Divide each side by '-6'.
x = -1.333333333

Simplifying
x = -1.333333333

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