3(4x-3)-5x=3x+7

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Solution for 3(4x-3)-5x=3x+7 equation:


Simplifying
3(4x + -3) + -5x = 3x + 7

Reorder the terms:
3(-3 + 4x) + -5x = 3x + 7
(-3 * 3 + 4x * 3) + -5x = 3x + 7
(-9 + 12x) + -5x = 3x + 7

Combine like terms: 12x + -5x = 7x
-9 + 7x = 3x + 7

Reorder the terms:
-9 + 7x = 7 + 3x

Solving
-9 + 7x = 7 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-9 + 7x + -3x = 7 + 3x + -3x

Combine like terms: 7x + -3x = 4x
-9 + 4x = 7 + 3x + -3x

Combine like terms: 3x + -3x = 0
-9 + 4x = 7 + 0
-9 + 4x = 7

Add '9' to each side of the equation.
-9 + 9 + 4x = 7 + 9

Combine like terms: -9 + 9 = 0
0 + 4x = 7 + 9
4x = 7 + 9

Combine like terms: 7 + 9 = 16
4x = 16

Divide each side by '4'.
x = 4

Simplifying
x = 4

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