4[8-(7x-9)]=252x+356

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Solution for 4[8-(7x-9)]=252x+356 equation:


Simplifying
4[8 + -1(7x + -9)] = 252x + 356

Reorder the terms:
4[8 + -1(-9 + 7x)] = 252x + 356
4[8 + (-9 * -1 + 7x * -1)] = 252x + 356
4[8 + (9 + -7x)] = 252x + 356

Combine like terms: 8 + 9 = 17
4[17 + -7x] = 252x + 356
[17 * 4 + -7x * 4] = 252x + 356
[68 + -28x] = 252x + 356

Reorder the terms:
68 + -28x = 356 + 252x

Solving
68 + -28x = 356 + 252x

Solving for variable 'x'.

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

Add '-252x' to each side of the equation.
68 + -28x + -252x = 356 + 252x + -252x

Combine like terms: -28x + -252x = -280x
68 + -280x = 356 + 252x + -252x

Combine like terms: 252x + -252x = 0
68 + -280x = 356 + 0
68 + -280x = 356

Add '-68' to each side of the equation.
68 + -68 + -280x = 356 + -68

Combine like terms: 68 + -68 = 0
0 + -280x = 356 + -68
-280x = 356 + -68

Combine like terms: 356 + -68 = 288
-280x = 288

Divide each side by '-280'.
x = -1.028571429

Simplifying
x = -1.028571429

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