4(6x-5)-5(3x-19)=2(4x+3)-3

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Solution for 4(6x-5)-5(3x-19)=2(4x+3)-3 equation:


Simplifying
4(6x + -5) + -5(3x + -19) = 2(4x + 3) + -3

Reorder the terms:
4(-5 + 6x) + -5(3x + -19) = 2(4x + 3) + -3
(-5 * 4 + 6x * 4) + -5(3x + -19) = 2(4x + 3) + -3
(-20 + 24x) + -5(3x + -19) = 2(4x + 3) + -3

Reorder the terms:
-20 + 24x + -5(-19 + 3x) = 2(4x + 3) + -3
-20 + 24x + (-19 * -5 + 3x * -5) = 2(4x + 3) + -3
-20 + 24x + (95 + -15x) = 2(4x + 3) + -3

Reorder the terms:
-20 + 95 + 24x + -15x = 2(4x + 3) + -3

Combine like terms: -20 + 95 = 75
75 + 24x + -15x = 2(4x + 3) + -3

Combine like terms: 24x + -15x = 9x
75 + 9x = 2(4x + 3) + -3

Reorder the terms:
75 + 9x = 2(3 + 4x) + -3
75 + 9x = (3 * 2 + 4x * 2) + -3
75 + 9x = (6 + 8x) + -3

Reorder the terms:
75 + 9x = 6 + -3 + 8x

Combine like terms: 6 + -3 = 3
75 + 9x = 3 + 8x

Solving
75 + 9x = 3 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
75 + 9x + -8x = 3 + 8x + -8x

Combine like terms: 9x + -8x = 1x
75 + 1x = 3 + 8x + -8x

Combine like terms: 8x + -8x = 0
75 + 1x = 3 + 0
75 + 1x = 3

Add '-75' to each side of the equation.
75 + -75 + 1x = 3 + -75

Combine like terms: 75 + -75 = 0
0 + 1x = 3 + -75
1x = 3 + -75

Combine like terms: 3 + -75 = -72
1x = -72

Divide each side by '1'.
x = -72

Simplifying
x = -72

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