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

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


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

Reorder the terms:
5(-3 + 4x) + -3(4x + 1) = 2(3x + -5)
(-3 * 5 + 4x * 5) + -3(4x + 1) = 2(3x + -5)
(-15 + 20x) + -3(4x + 1) = 2(3x + -5)

Reorder the terms:
-15 + 20x + -3(1 + 4x) = 2(3x + -5)
-15 + 20x + (1 * -3 + 4x * -3) = 2(3x + -5)
-15 + 20x + (-3 + -12x) = 2(3x + -5)

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

Combine like terms: -15 + -3 = -18
-18 + 20x + -12x = 2(3x + -5)

Combine like terms: 20x + -12x = 8x
-18 + 8x = 2(3x + -5)

Reorder the terms:
-18 + 8x = 2(-5 + 3x)
-18 + 8x = (-5 * 2 + 3x * 2)
-18 + 8x = (-10 + 6x)

Solving
-18 + 8x = -10 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-18 + 8x + -6x = -10 + 6x + -6x

Combine like terms: 8x + -6x = 2x
-18 + 2x = -10 + 6x + -6x

Combine like terms: 6x + -6x = 0
-18 + 2x = -10 + 0
-18 + 2x = -10

Add '18' to each side of the equation.
-18 + 18 + 2x = -10 + 18

Combine like terms: -18 + 18 = 0
0 + 2x = -10 + 18
2x = -10 + 18

Combine like terms: -10 + 18 = 8
2x = 8

Divide each side by '2'.
x = 4

Simplifying
x = 4

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