5(6x-2)+3(16-3x)=4(5x+3)-10

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Solution for 5(6x-2)+3(16-3x)=4(5x+3)-10 equation:


Simplifying
5(6x + -2) + 3(16 + -3x) = 4(5x + 3) + -10

Reorder the terms:
5(-2 + 6x) + 3(16 + -3x) = 4(5x + 3) + -10
(-2 * 5 + 6x * 5) + 3(16 + -3x) = 4(5x + 3) + -10
(-10 + 30x) + 3(16 + -3x) = 4(5x + 3) + -10
-10 + 30x + (16 * 3 + -3x * 3) = 4(5x + 3) + -10
-10 + 30x + (48 + -9x) = 4(5x + 3) + -10

Reorder the terms:
-10 + 48 + 30x + -9x = 4(5x + 3) + -10

Combine like terms: -10 + 48 = 38
38 + 30x + -9x = 4(5x + 3) + -10

Combine like terms: 30x + -9x = 21x
38 + 21x = 4(5x + 3) + -10

Reorder the terms:
38 + 21x = 4(3 + 5x) + -10
38 + 21x = (3 * 4 + 5x * 4) + -10
38 + 21x = (12 + 20x) + -10

Reorder the terms:
38 + 21x = 12 + -10 + 20x

Combine like terms: 12 + -10 = 2
38 + 21x = 2 + 20x

Solving
38 + 21x = 2 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
38 + 21x + -20x = 2 + 20x + -20x

Combine like terms: 21x + -20x = 1x
38 + 1x = 2 + 20x + -20x

Combine like terms: 20x + -20x = 0
38 + 1x = 2 + 0
38 + 1x = 2

Add '-38' to each side of the equation.
38 + -38 + 1x = 2 + -38

Combine like terms: 38 + -38 = 0
0 + 1x = 2 + -38
1x = 2 + -38

Combine like terms: 2 + -38 = -36
1x = -36

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

Simplifying
x = -36

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