20-3(5x+4)+6(2x-3)=4(-7x+2)-3

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Solution for 20-3(5x+4)+6(2x-3)=4(-7x+2)-3 equation:


Simplifying
20 + -3(5x + 4) + 6(2x + -3) = 4(-7x + 2) + -3

Reorder the terms:
20 + -3(4 + 5x) + 6(2x + -3) = 4(-7x + 2) + -3
20 + (4 * -3 + 5x * -3) + 6(2x + -3) = 4(-7x + 2) + -3
20 + (-12 + -15x) + 6(2x + -3) = 4(-7x + 2) + -3

Reorder the terms:
20 + -12 + -15x + 6(-3 + 2x) = 4(-7x + 2) + -3
20 + -12 + -15x + (-3 * 6 + 2x * 6) = 4(-7x + 2) + -3
20 + -12 + -15x + (-18 + 12x) = 4(-7x + 2) + -3

Reorder the terms:
20 + -12 + -18 + -15x + 12x = 4(-7x + 2) + -3

Combine like terms: 20 + -12 = 8
8 + -18 + -15x + 12x = 4(-7x + 2) + -3

Combine like terms: 8 + -18 = -10
-10 + -15x + 12x = 4(-7x + 2) + -3

Combine like terms: -15x + 12x = -3x
-10 + -3x = 4(-7x + 2) + -3

Reorder the terms:
-10 + -3x = 4(2 + -7x) + -3
-10 + -3x = (2 * 4 + -7x * 4) + -3
-10 + -3x = (8 + -28x) + -3

Reorder the terms:
-10 + -3x = 8 + -3 + -28x

Combine like terms: 8 + -3 = 5
-10 + -3x = 5 + -28x

Solving
-10 + -3x = 5 + -28x

Solving for variable 'x'.

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

Add '28x' to each side of the equation.
-10 + -3x + 28x = 5 + -28x + 28x

Combine like terms: -3x + 28x = 25x
-10 + 25x = 5 + -28x + 28x

Combine like terms: -28x + 28x = 0
-10 + 25x = 5 + 0
-10 + 25x = 5

Add '10' to each side of the equation.
-10 + 10 + 25x = 5 + 10

Combine like terms: -10 + 10 = 0
0 + 25x = 5 + 10
25x = 5 + 10

Combine like terms: 5 + 10 = 15
25x = 15

Divide each side by '25'.
x = 0.6

Simplifying
x = 0.6

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