-7(3+8x)=2(x-3)

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Solution for -7(3+8x)=2(x-3) equation:


Simplifying
-7(3 + 8x) = 2(x + -3)
(3 * -7 + 8x * -7) = 2(x + -3)
(-21 + -56x) = 2(x + -3)

Reorder the terms:
-21 + -56x = 2(-3 + x)
-21 + -56x = (-3 * 2 + x * 2)
-21 + -56x = (-6 + 2x)

Solving
-21 + -56x = -6 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-21 + -56x + -2x = -6 + 2x + -2x

Combine like terms: -56x + -2x = -58x
-21 + -58x = -6 + 2x + -2x

Combine like terms: 2x + -2x = 0
-21 + -58x = -6 + 0
-21 + -58x = -6

Add '21' to each side of the equation.
-21 + 21 + -58x = -6 + 21

Combine like terms: -21 + 21 = 0
0 + -58x = -6 + 21
-58x = -6 + 21

Combine like terms: -6 + 21 = 15
-58x = 15

Divide each side by '-58'.
x = -0.2586206897

Simplifying
x = -0.2586206897

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