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

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


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

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

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

Reorder the terms:
-4 + 6 + -5 + 28x + -15x + -3x = -6

Combine like terms: -4 + 6 = 2
2 + -5 + 28x + -15x + -3x = -6

Combine like terms: 2 + -5 = -3
-3 + 28x + -15x + -3x = -6

Combine like terms: 28x + -15x = 13x
-3 + 13x + -3x = -6

Combine like terms: 13x + -3x = 10x
-3 + 10x = -6

Solving
-3 + 10x = -6

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + 10x = -6 + 3

Combine like terms: -3 + 3 = 0
0 + 10x = -6 + 3
10x = -6 + 3

Combine like terms: -6 + 3 = -3
10x = -3

Divide each side by '10'.
x = -0.3

Simplifying
x = -0.3

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