-47=6(7x-2)-7(x-5)

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Solution for -47=6(7x-2)-7(x-5) equation:


Simplifying
-47 = 6(7x + -2) + -7(x + -5)

Reorder the terms:
-47 = 6(-2 + 7x) + -7(x + -5)
-47 = (-2 * 6 + 7x * 6) + -7(x + -5)
-47 = (-12 + 42x) + -7(x + -5)

Reorder the terms:
-47 = -12 + 42x + -7(-5 + x)
-47 = -12 + 42x + (-5 * -7 + x * -7)
-47 = -12 + 42x + (35 + -7x)

Reorder the terms:
-47 = -12 + 35 + 42x + -7x

Combine like terms: -12 + 35 = 23
-47 = 23 + 42x + -7x

Combine like terms: 42x + -7x = 35x
-47 = 23 + 35x

Solving
-47 = 23 + 35x

Solving for variable 'x'.

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

Add '-35x' to each side of the equation.
-47 + -35x = 23 + 35x + -35x

Combine like terms: 35x + -35x = 0
-47 + -35x = 23 + 0
-47 + -35x = 23

Add '47' to each side of the equation.
-47 + 47 + -35x = 23 + 47

Combine like terms: -47 + 47 = 0
0 + -35x = 23 + 47
-35x = 23 + 47

Combine like terms: 23 + 47 = 70
-35x = 70

Divide each side by '-35'.
x = -2

Simplifying
x = -2

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