7[1-4(2x-5)]=56+147

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Solution for 7[1-4(2x-5)]=56+147 equation: 


Simplifying
7[1 + -4(2x + -5)] = 56 + 147

Reorder the terms:
7[1 + -4(-5 + 2x)] = 56 + 147
7[1 + (-5 * -4 + 2x * -4)] = 56 + 147
7[1 + (20 + -8x)] = 56 + 147

Combine like terms: 1 + 20 = 21
7[21 + -8x] = 56 + 147
[21 * 7 + -8x * 7] = 56 + 147
[147 + -56x] = 56 + 147

Combine like terms: 56 + 147 = 203
147 + -56x = 203

Solving
147 + -56x = 203

Solving for variable 'x'.

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

Add '-147' to each side of the equation.
147 + -147 + -56x = 203 + -147

Combine like terms: 147 + -147 = 0
0 + -56x = 203 + -147
-56x = 203 + -147

Combine like terms: 203 + -147 = 56
-56x = 56

Divide each side by '-56'.
x = -1

Simplifying
x = -1

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