7[3-(-4x-9)]=224x+525

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Solution for 7[3-(-4x-9)]=224x+525 equation:


Simplifying
7[3 + -1(-4x + -9)] = 224x + 525

Reorder the terms:
7[3 + -1(-9 + -4x)] = 224x + 525
7[3 + (-9 * -1 + -4x * -1)] = 224x + 525
7[3 + (9 + 4x)] = 224x + 525

Combine like terms: 3 + 9 = 12
7[12 + 4x] = 224x + 525
[12 * 7 + 4x * 7] = 224x + 525
[84 + 28x] = 224x + 525

Reorder the terms:
84 + 28x = 525 + 224x

Solving
84 + 28x = 525 + 224x

Solving for variable 'x'.

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

Add '-224x' to each side of the equation.
84 + 28x + -224x = 525 + 224x + -224x

Combine like terms: 28x + -224x = -196x
84 + -196x = 525 + 224x + -224x

Combine like terms: 224x + -224x = 0
84 + -196x = 525 + 0
84 + -196x = 525

Add '-84' to each side of the equation.
84 + -84 + -196x = 525 + -84

Combine like terms: 84 + -84 = 0
0 + -196x = 525 + -84
-196x = 525 + -84

Combine like terms: 525 + -84 = 441
-196x = 441

Divide each side by '-196'.
x = -2.25

Simplifying
x = -2.25

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