7[5-(-3x-4)]=198x+287

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Solution for 7[5-(-3x-4)]=198x+287 equation:


Simplifying
7[5 + -1(-3x + -4)] = 198x + 287

Reorder the terms:
7[5 + -1(-4 + -3x)] = 198x + 287
7[5 + (-4 * -1 + -3x * -1)] = 198x + 287
7[5 + (4 + 3x)] = 198x + 287

Combine like terms: 5 + 4 = 9
7[9 + 3x] = 198x + 287
[9 * 7 + 3x * 7] = 198x + 287
[63 + 21x] = 198x + 287

Reorder the terms:
63 + 21x = 287 + 198x

Solving
63 + 21x = 287 + 198x

Solving for variable 'x'.

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

Add '-198x' to each side of the equation.
63 + 21x + -198x = 287 + 198x + -198x

Combine like terms: 21x + -198x = -177x
63 + -177x = 287 + 198x + -198x

Combine like terms: 198x + -198x = 0
63 + -177x = 287 + 0
63 + -177x = 287

Add '-63' to each side of the equation.
63 + -63 + -177x = 287 + -63

Combine like terms: 63 + -63 = 0
0 + -177x = 287 + -63
-177x = 287 + -63

Combine like terms: 287 + -63 = 224
-177x = 224

Divide each side by '-177'.
x = -1.265536723

Simplifying
x = -1.265536723

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