7[6-(-6x-4)]=294x+238

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Solution for 7[6-(-6x-4)]=294x+238 equation:


Simplifying
7[6 + -1(-6x + -4)] = 294x + 238

Reorder the terms:
7[6 + -1(-4 + -6x)] = 294x + 238
7[6 + (-4 * -1 + -6x * -1)] = 294x + 238
7[6 + (4 + 6x)] = 294x + 238

Combine like terms: 6 + 4 = 10
7[10 + 6x] = 294x + 238
[10 * 7 + 6x * 7] = 294x + 238
[70 + 42x] = 294x + 238

Reorder the terms:
70 + 42x = 238 + 294x

Solving
70 + 42x = 238 + 294x

Solving for variable 'x'.

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

Add '-294x' to each side of the equation.
70 + 42x + -294x = 238 + 294x + -294x

Combine like terms: 42x + -294x = -252x
70 + -252x = 238 + 294x + -294x

Combine like terms: 294x + -294x = 0
70 + -252x = 238 + 0
70 + -252x = 238

Add '-70' to each side of the equation.
70 + -70 + -252x = 238 + -70

Combine like terms: 70 + -70 = 0
0 + -252x = 238 + -70
-252x = 238 + -70

Combine like terms: 238 + -70 = 168
-252x = 168

Divide each side by '-252'.
x = -0.6666666667

Simplifying
x = -0.6666666667

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