(4x-9)2=7x+3

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Solution for (4x-9)2=7x+3 equation:


Simplifying
(4x + -9) * 2 = 7x + 3

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

Reorder the terms for easier multiplication:
2(-9 + 4x) = 7x + 3
(-9 * 2 + 4x * 2) = 7x + 3
(-18 + 8x) = 7x + 3

Reorder the terms:
-18 + 8x = 3 + 7x

Solving
-18 + 8x = 3 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-18 + 8x + -7x = 3 + 7x + -7x

Combine like terms: 8x + -7x = 1x
-18 + 1x = 3 + 7x + -7x

Combine like terms: 7x + -7x = 0
-18 + 1x = 3 + 0
-18 + 1x = 3

Add '18' to each side of the equation.
-18 + 18 + 1x = 3 + 18

Combine like terms: -18 + 18 = 0
0 + 1x = 3 + 18
1x = 3 + 18

Combine like terms: 3 + 18 = 21
1x = 21

Divide each side by '1'.
x = 21

Simplifying
x = 21

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