5(4x+3)-6(2x+1)=10

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Solution for 5(4x+3)-6(2x+1)=10 equation:


Simplifying
5(4x + 3) + -6(2x + 1) = 10

Reorder the terms:
5(3 + 4x) + -6(2x + 1) = 10
(3 * 5 + 4x * 5) + -6(2x + 1) = 10
(15 + 20x) + -6(2x + 1) = 10

Reorder the terms:
15 + 20x + -6(1 + 2x) = 10
15 + 20x + (1 * -6 + 2x * -6) = 10
15 + 20x + (-6 + -12x) = 10

Reorder the terms:
15 + -6 + 20x + -12x = 10

Combine like terms: 15 + -6 = 9
9 + 20x + -12x = 10

Combine like terms: 20x + -12x = 8x
9 + 8x = 10

Solving
9 + 8x = 10

Solving for variable 'x'.

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

Add '-9' to each side of the equation.
9 + -9 + 8x = 10 + -9

Combine like terms: 9 + -9 = 0
0 + 8x = 10 + -9
8x = 10 + -9

Combine like terms: 10 + -9 = 1
8x = 1

Divide each side by '8'.
x = 0.125

Simplifying
x = 0.125

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