4[6-(-2x-7)]=64x+248

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Solution for 4[6-(-2x-7)]=64x+248 equation:


Simplifying
4[6 + -1(-2x + -7)] = 64x + 248

Reorder the terms:
4[6 + -1(-7 + -2x)] = 64x + 248
4[6 + (-7 * -1 + -2x * -1)] = 64x + 248
4[6 + (7 + 2x)] = 64x + 248

Combine like terms: 6 + 7 = 13
4[13 + 2x] = 64x + 248
[13 * 4 + 2x * 4] = 64x + 248
[52 + 8x] = 64x + 248

Reorder the terms:
52 + 8x = 248 + 64x

Solving
52 + 8x = 248 + 64x

Solving for variable 'x'.

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

Add '-64x' to each side of the equation.
52 + 8x + -64x = 248 + 64x + -64x

Combine like terms: 8x + -64x = -56x
52 + -56x = 248 + 64x + -64x

Combine like terms: 64x + -64x = 0
52 + -56x = 248 + 0
52 + -56x = 248

Add '-52' to each side of the equation.
52 + -52 + -56x = 248 + -52

Combine like terms: 52 + -52 = 0
0 + -56x = 248 + -52
-56x = 248 + -52

Combine like terms: 248 + -52 = 196
-56x = 196

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

Simplifying
x = -3.5

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