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

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


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

Reorder the terms:
7(-3 + 4x) = 3(3x + 4)
(-3 * 7 + 4x * 7) = 3(3x + 4)
(-21 + 28x) = 3(3x + 4)

Reorder the terms:
-21 + 28x = 3(4 + 3x)
-21 + 28x = (4 * 3 + 3x * 3)
-21 + 28x = (12 + 9x)

Solving
-21 + 28x = 12 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-21 + 28x + -9x = 12 + 9x + -9x

Combine like terms: 28x + -9x = 19x
-21 + 19x = 12 + 9x + -9x

Combine like terms: 9x + -9x = 0
-21 + 19x = 12 + 0
-21 + 19x = 12

Add '21' to each side of the equation.
-21 + 21 + 19x = 12 + 21

Combine like terms: -21 + 21 = 0
0 + 19x = 12 + 21
19x = 12 + 21

Combine like terms: 12 + 21 = 33
19x = 33

Divide each side by '19'.
x = 1.736842105

Simplifying
x = 1.736842105

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