9-7x=(4x-3)2+5

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Solution for 9-7x=(4x-3)2+5 equation:


Simplifying
9 + -7x = (4x + -3) * 2 + 5

Reorder the terms:
9 + -7x = (-3 + 4x) * 2 + 5

Reorder the terms for easier multiplication:
9 + -7x = 2(-3 + 4x) + 5
9 + -7x = (-3 * 2 + 4x * 2) + 5
9 + -7x = (-6 + 8x) + 5

Reorder the terms:
9 + -7x = -6 + 5 + 8x

Combine like terms: -6 + 5 = -1
9 + -7x = -1 + 8x

Solving
9 + -7x = -1 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
9 + -7x + -8x = -1 + 8x + -8x

Combine like terms: -7x + -8x = -15x
9 + -15x = -1 + 8x + -8x

Combine like terms: 8x + -8x = 0
9 + -15x = -1 + 0
9 + -15x = -1

Add '-9' to each side of the equation.
9 + -9 + -15x = -1 + -9

Combine like terms: 9 + -9 = 0
0 + -15x = -1 + -9
-15x = -1 + -9

Combine like terms: -1 + -9 = -10
-15x = -10

Divide each side by '-15'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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