7[8-(-2x-3)]=126x+245

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Solution for 7[8-(-2x-3)]=126x+245 equation:


Simplifying
7[8 + -1(-2x + -3)] = 126x + 245

Reorder the terms:
7[8 + -1(-3 + -2x)] = 126x + 245
7[8 + (-3 * -1 + -2x * -1)] = 126x + 245
7[8 + (3 + 2x)] = 126x + 245

Combine like terms: 8 + 3 = 11
7[11 + 2x] = 126x + 245
[11 * 7 + 2x * 7] = 126x + 245
[77 + 14x] = 126x + 245

Reorder the terms:
77 + 14x = 245 + 126x

Solving
77 + 14x = 245 + 126x

Solving for variable 'x'.

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

Add '-126x' to each side of the equation.
77 + 14x + -126x = 245 + 126x + -126x

Combine like terms: 14x + -126x = -112x
77 + -112x = 245 + 126x + -126x

Combine like terms: 126x + -126x = 0
77 + -112x = 245 + 0
77 + -112x = 245

Add '-77' to each side of the equation.
77 + -77 + -112x = 245 + -77

Combine like terms: 77 + -77 = 0
0 + -112x = 245 + -77
-112x = 245 + -77

Combine like terms: 245 + -77 = 168
-112x = 168

Divide each side by '-112'.
x = -1.5

Simplifying
x = -1.5

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