6x-3(10-3x)=7(3+8x)

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Solution for 6x-3(10-3x)=7(3+8x) equation:


Simplifying
6x + -3(10 + -3x) = 7(3 + 8x)
6x + (10 * -3 + -3x * -3) = 7(3 + 8x)
6x + (-30 + 9x) = 7(3 + 8x)

Reorder the terms:
-30 + 6x + 9x = 7(3 + 8x)

Combine like terms: 6x + 9x = 15x
-30 + 15x = 7(3 + 8x)
-30 + 15x = (3 * 7 + 8x * 7)
-30 + 15x = (21 + 56x)

Solving
-30 + 15x = 21 + 56x

Solving for variable 'x'.

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

Add '-56x' to each side of the equation.
-30 + 15x + -56x = 21 + 56x + -56x

Combine like terms: 15x + -56x = -41x
-30 + -41x = 21 + 56x + -56x

Combine like terms: 56x + -56x = 0
-30 + -41x = 21 + 0
-30 + -41x = 21

Add '30' to each side of the equation.
-30 + 30 + -41x = 21 + 30

Combine like terms: -30 + 30 = 0
0 + -41x = 21 + 30
-41x = 21 + 30

Combine like terms: 21 + 30 = 51
-41x = 51

Divide each side by '-41'.
x = -1.243902439

Simplifying
x = -1.243902439

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