4(7x-1)+3(2-5x)-4(3x+5)=-6

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Solution for 4(7x-1)+3(2-5x)-4(3x+5)=-6 equation:


Simplifying
4(7x + -1) + 3(2 + -5x) + -4(3x + 5) = -6

Reorder the terms:
4(-1 + 7x) + 3(2 + -5x) + -4(3x + 5) = -6
(-1 * 4 + 7x * 4) + 3(2 + -5x) + -4(3x + 5) = -6
(-4 + 28x) + 3(2 + -5x) + -4(3x + 5) = -6
-4 + 28x + (2 * 3 + -5x * 3) + -4(3x + 5) = -6
-4 + 28x + (6 + -15x) + -4(3x + 5) = -6

Reorder the terms:
-4 + 28x + 6 + -15x + -4(5 + 3x) = -6
-4 + 28x + 6 + -15x + (5 * -4 + 3x * -4) = -6
-4 + 28x + 6 + -15x + (-20 + -12x) = -6

Reorder the terms:
-4 + 6 + -20 + 28x + -15x + -12x = -6

Combine like terms: -4 + 6 = 2
2 + -20 + 28x + -15x + -12x = -6

Combine like terms: 2 + -20 = -18
-18 + 28x + -15x + -12x = -6

Combine like terms: 28x + -15x = 13x
-18 + 13x + -12x = -6

Combine like terms: 13x + -12x = 1x
-18 + 1x = -6

Solving
-18 + 1x = -6

Solving for variable 'x'.

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

Add '18' to each side of the equation.
-18 + 18 + 1x = -6 + 18

Combine like terms: -18 + 18 = 0
0 + 1x = -6 + 18
1x = -6 + 18

Combine like terms: -6 + 18 = 12
1x = 12

Divide each side by '1'.
x = 12

Simplifying
x = 12

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