5(10x+3)+3(1-3x)=5(8x+4)+3

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Solution for 5(10x+3)+3(1-3x)=5(8x+4)+3 equation:


Simplifying
5(10x + 3) + 3(1 + -3x) = 5(8x + 4) + 3

Reorder the terms:
5(3 + 10x) + 3(1 + -3x) = 5(8x + 4) + 3
(3 * 5 + 10x * 5) + 3(1 + -3x) = 5(8x + 4) + 3
(15 + 50x) + 3(1 + -3x) = 5(8x + 4) + 3
15 + 50x + (1 * 3 + -3x * 3) = 5(8x + 4) + 3
15 + 50x + (3 + -9x) = 5(8x + 4) + 3

Reorder the terms:
15 + 3 + 50x + -9x = 5(8x + 4) + 3

Combine like terms: 15 + 3 = 18
18 + 50x + -9x = 5(8x + 4) + 3

Combine like terms: 50x + -9x = 41x
18 + 41x = 5(8x + 4) + 3

Reorder the terms:
18 + 41x = 5(4 + 8x) + 3
18 + 41x = (4 * 5 + 8x * 5) + 3
18 + 41x = (20 + 40x) + 3

Reorder the terms:
18 + 41x = 20 + 3 + 40x

Combine like terms: 20 + 3 = 23
18 + 41x = 23 + 40x

Solving
18 + 41x = 23 + 40x

Solving for variable 'x'.

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

Add '-40x' to each side of the equation.
18 + 41x + -40x = 23 + 40x + -40x

Combine like terms: 41x + -40x = 1x
18 + 1x = 23 + 40x + -40x

Combine like terms: 40x + -40x = 0
18 + 1x = 23 + 0
18 + 1x = 23

Add '-18' to each side of the equation.
18 + -18 + 1x = 23 + -18

Combine like terms: 18 + -18 = 0
0 + 1x = 23 + -18
1x = 23 + -18

Combine like terms: 23 + -18 = 5
1x = 5

Divide each side by '1'.
x = 5

Simplifying
x = 5

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