4x-6=5(x-2)

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Solution for 4x-6=5(x-2) equation:


Simplifying
4x + -6 = 5(x + -2)

Reorder the terms:
-6 + 4x = 5(x + -2)

Reorder the terms:
-6 + 4x = 5(-2 + x)
-6 + 4x = (-2 * 5 + x * 5)
-6 + 4x = (-10 + 5x)

Solving
-6 + 4x = -10 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-6 + 4x + -5x = -10 + 5x + -5x

Combine like terms: 4x + -5x = -1x
-6 + -1x = -10 + 5x + -5x

Combine like terms: 5x + -5x = 0
-6 + -1x = -10 + 0
-6 + -1x = -10

Add '6' to each side of the equation.
-6 + 6 + -1x = -10 + 6

Combine like terms: -6 + 6 = 0
0 + -1x = -10 + 6
-1x = -10 + 6

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

Divide each side by '-1'.
x = 4

Simplifying
x = 4

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