7[3-(-2x-7)]=70x+266

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Solution for 7[3-(-2x-7)]=70x+266 equation:


Simplifying
7[3 + -1(-2x + -7)] = 70x + 266

Reorder the terms:
7[3 + -1(-7 + -2x)] = 70x + 266
7[3 + (-7 * -1 + -2x * -1)] = 70x + 266
7[3 + (7 + 2x)] = 70x + 266

Combine like terms: 3 + 7 = 10
7[10 + 2x] = 70x + 266
[10 * 7 + 2x * 7] = 70x + 266
[70 + 14x] = 70x + 266

Reorder the terms:
70 + 14x = 266 + 70x

Solving
70 + 14x = 266 + 70x

Solving for variable 'x'.

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

Add '-70x' to each side of the equation.
70 + 14x + -70x = 266 + 70x + -70x

Combine like terms: 14x + -70x = -56x
70 + -56x = 266 + 70x + -70x

Combine like terms: 70x + -70x = 0
70 + -56x = 266 + 0
70 + -56x = 266

Add '-70' to each side of the equation.
70 + -70 + -56x = 266 + -70

Combine like terms: 70 + -70 = 0
0 + -56x = 266 + -70
-56x = 266 + -70

Combine like terms: 266 + -70 = 196
-56x = 196

Divide each side by '-56'.
x = -3.5

Simplifying
x = -3.5

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