7[8-(-7x-3)]=196x+140

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Solution for 7[8-(-7x-3)]=196x+140 equation:


Simplifying
7[8 + -1(-7x + -3)] = 196x + 140

Reorder the terms:
7[8 + -1(-3 + -7x)] = 196x + 140
7[8 + (-3 * -1 + -7x * -1)] = 196x + 140
7[8 + (3 + 7x)] = 196x + 140

Combine like terms: 8 + 3 = 11
7[11 + 7x] = 196x + 140
[11 * 7 + 7x * 7] = 196x + 140
[77 + 49x] = 196x + 140

Reorder the terms:
77 + 49x = 140 + 196x

Solving
77 + 49x = 140 + 196x

Solving for variable 'x'.

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

Add '-196x' to each side of the equation.
77 + 49x + -196x = 140 + 196x + -196x

Combine like terms: 49x + -196x = -147x
77 + -147x = 140 + 196x + -196x

Combine like terms: 196x + -196x = 0
77 + -147x = 140 + 0
77 + -147x = 140

Add '-77' to each side of the equation.
77 + -77 + -147x = 140 + -77

Combine like terms: 77 + -77 = 0
0 + -147x = 140 + -77
-147x = 140 + -77

Combine like terms: 140 + -77 = 63
-147x = 63

Divide each side by '-147'.
x = -0.4285714286

Simplifying
x = -0.4285714286

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