8-3(6x+1)=4x-3(3x+7)

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Solution for 8-3(6x+1)=4x-3(3x+7) equation:


Simplifying
8 + -3(6x + 1) = 4x + -3(3x + 7)

Reorder the terms:
8 + -3(1 + 6x) = 4x + -3(3x + 7)
8 + (1 * -3 + 6x * -3) = 4x + -3(3x + 7)
8 + (-3 + -18x) = 4x + -3(3x + 7)

Combine like terms: 8 + -3 = 5
5 + -18x = 4x + -3(3x + 7)

Reorder the terms:
5 + -18x = 4x + -3(7 + 3x)
5 + -18x = 4x + (7 * -3 + 3x * -3)
5 + -18x = 4x + (-21 + -9x)

Reorder the terms:
5 + -18x = -21 + 4x + -9x

Combine like terms: 4x + -9x = -5x
5 + -18x = -21 + -5x

Solving
5 + -18x = -21 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
5 + -18x + 5x = -21 + -5x + 5x

Combine like terms: -18x + 5x = -13x
5 + -13x = -21 + -5x + 5x

Combine like terms: -5x + 5x = 0
5 + -13x = -21 + 0
5 + -13x = -21

Add '-5' to each side of the equation.
5 + -5 + -13x = -21 + -5

Combine like terms: 5 + -5 = 0
0 + -13x = -21 + -5
-13x = -21 + -5

Combine like terms: -21 + -5 = -26
-13x = -26

Divide each side by '-13'.
x = 2

Simplifying
x = 2

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