3x-4=5(2x-6)

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Solution for 3x-4=5(2x-6) equation:


Simplifying
3x + -4 = 5(2x + -6)

Reorder the terms:
-4 + 3x = 5(2x + -6)

Reorder the terms:
-4 + 3x = 5(-6 + 2x)
-4 + 3x = (-6 * 5 + 2x * 5)
-4 + 3x = (-30 + 10x)

Solving
-4 + 3x = -30 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-4 + 3x + -10x = -30 + 10x + -10x

Combine like terms: 3x + -10x = -7x
-4 + -7x = -30 + 10x + -10x

Combine like terms: 10x + -10x = 0
-4 + -7x = -30 + 0
-4 + -7x = -30

Add '4' to each side of the equation.
-4 + 4 + -7x = -30 + 4

Combine like terms: -4 + 4 = 0
0 + -7x = -30 + 4
-7x = -30 + 4

Combine like terms: -30 + 4 = -26
-7x = -26

Divide each side by '-7'.
x = 3.714285714

Simplifying
x = 3.714285714

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