3x-4=2(x-5)

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


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

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

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

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

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-4 + 3x + -2x = -10 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
-4 + 1x = -10 + 0
-4 + 1x = -10

Add '4' to each side of the equation.
-4 + 4 + 1x = -10 + 4

Combine like terms: -4 + 4 = 0
0 + 1x = -10 + 4
1x = -10 + 4

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

Divide each side by '1'.
x = -6

Simplifying
x = -6

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