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

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


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

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

Reorder the terms:
-7 + 4x = 3(-3 + 2x)
-7 + 4x = (-3 * 3 + 2x * 3)
-7 + 4x = (-9 + 6x)

Solving
-7 + 4x = -9 + 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 = -9 + 6x + -6x

Combine like terms: 4x + -6x = -2x
-7 + -2x = -9 + 6x + -6x

Combine like terms: 6x + -6x = 0
-7 + -2x = -9 + 0
-7 + -2x = -9

Add '7' to each side of the equation.
-7 + 7 + -2x = -9 + 7

Combine like terms: -7 + 7 = 0
0 + -2x = -9 + 7
-2x = -9 + 7

Combine like terms: -9 + 7 = -2
-2x = -2

Divide each side by '-2'.
x = 1

Simplifying
x = 1

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