4(5x-5)-3(3x-19)=2(5x+2)-3

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Solution for 4(5x-5)-3(3x-19)=2(5x+2)-3 equation:


Simplifying
4(5x + -5) + -3(3x + -19) = 2(5x + 2) + -3

Reorder the terms:
4(-5 + 5x) + -3(3x + -19) = 2(5x + 2) + -3
(-5 * 4 + 5x * 4) + -3(3x + -19) = 2(5x + 2) + -3
(-20 + 20x) + -3(3x + -19) = 2(5x + 2) + -3

Reorder the terms:
-20 + 20x + -3(-19 + 3x) = 2(5x + 2) + -3
-20 + 20x + (-19 * -3 + 3x * -3) = 2(5x + 2) + -3
-20 + 20x + (57 + -9x) = 2(5x + 2) + -3

Reorder the terms:
-20 + 57 + 20x + -9x = 2(5x + 2) + -3

Combine like terms: -20 + 57 = 37
37 + 20x + -9x = 2(5x + 2) + -3

Combine like terms: 20x + -9x = 11x
37 + 11x = 2(5x + 2) + -3

Reorder the terms:
37 + 11x = 2(2 + 5x) + -3
37 + 11x = (2 * 2 + 5x * 2) + -3
37 + 11x = (4 + 10x) + -3

Reorder the terms:
37 + 11x = 4 + -3 + 10x

Combine like terms: 4 + -3 = 1
37 + 11x = 1 + 10x

Solving
37 + 11x = 1 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
37 + 11x + -10x = 1 + 10x + -10x

Combine like terms: 11x + -10x = 1x
37 + 1x = 1 + 10x + -10x

Combine like terms: 10x + -10x = 0
37 + 1x = 1 + 0
37 + 1x = 1

Add '-37' to each side of the equation.
37 + -37 + 1x = 1 + -37

Combine like terms: 37 + -37 = 0
0 + 1x = 1 + -37
1x = 1 + -37

Combine like terms: 1 + -37 = -36
1x = -36

Divide each side by '1'.
x = -36

Simplifying
x = -36

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