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

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


Simplifying
4(1 + -3x) + 3(x + 7) = -8x + 1 + 4 + -6x
(1 * 4 + -3x * 4) + 3(x + 7) = -8x + 1 + 4 + -6x
(4 + -12x) + 3(x + 7) = -8x + 1 + 4 + -6x

Reorder the terms:
4 + -12x + 3(7 + x) = -8x + 1 + 4 + -6x
4 + -12x + (7 * 3 + x * 3) = -8x + 1 + 4 + -6x
4 + -12x + (21 + 3x) = -8x + 1 + 4 + -6x

Reorder the terms:
4 + 21 + -12x + 3x = -8x + 1 + 4 + -6x

Combine like terms: 4 + 21 = 25
25 + -12x + 3x = -8x + 1 + 4 + -6x

Combine like terms: -12x + 3x = -9x
25 + -9x = -8x + 1 + 4 + -6x

Reorder the terms:
25 + -9x = 1 + 4 + -8x + -6x

Combine like terms: 1 + 4 = 5
25 + -9x = 5 + -8x + -6x

Combine like terms: -8x + -6x = -14x
25 + -9x = 5 + -14x

Solving
25 + -9x = 5 + -14x

Solving for variable 'x'.

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

Add '14x' to each side of the equation.
25 + -9x + 14x = 5 + -14x + 14x

Combine like terms: -9x + 14x = 5x
25 + 5x = 5 + -14x + 14x

Combine like terms: -14x + 14x = 0
25 + 5x = 5 + 0
25 + 5x = 5

Add '-25' to each side of the equation.
25 + -25 + 5x = 5 + -25

Combine like terms: 25 + -25 = 0
0 + 5x = 5 + -25
5x = 5 + -25

Combine like terms: 5 + -25 = -20
5x = -20

Divide each side by '5'.
x = -4

Simplifying
x = -4

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