4x-(3x-2)=3x-10

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Solution for 4x-(3x-2)=3x-10 equation:


Simplifying
4x + -1(3x + -2) = 3x + -10

Reorder the terms:
4x + -1(-2 + 3x) = 3x + -10
4x + (-2 * -1 + 3x * -1) = 3x + -10
4x + (2 + -3x) = 3x + -10

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

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

Reorder the terms:
2 + 1x = -10 + 3x

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

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

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

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

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

Combine like terms: -10 + -2 = -12
-2x = -12

Divide each side by '-2'.
x = 6

Simplifying
x = 6

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