4x-7=3(2x-6)

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Solution for 4x-7=3(2x-6) equation:


Simplifying
4x + -7 = 3(2x + -6)

Reorder the terms:
-7 + 4x = 3(2x + -6)

Reorder the terms:
-7 + 4x = 3(-6 + 2x)
-7 + 4x = (-6 * 3 + 2x * 3)
-7 + 4x = (-18 + 6x)

Solving
-7 + 4x = -18 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-7 + 4x + -6x = -18 + 6x + -6x

Combine like terms: 4x + -6x = -2x
-7 + -2x = -18 + 6x + -6x

Combine like terms: 6x + -6x = 0
-7 + -2x = -18 + 0
-7 + -2x = -18

Add '7' to each side of the equation.
-7 + 7 + -2x = -18 + 7

Combine like terms: -7 + 7 = 0
0 + -2x = -18 + 7
-2x = -18 + 7

Combine like terms: -18 + 7 = -11
-2x = -11

Divide each side by '-2'.
x = 5.5

Simplifying
x = 5.5

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