4+3(8x+5)-(3x+2)=10

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Solution for 4+3(8x+5)-(3x+2)=10 equation:


Simplifying
4 + 3(8x + 5) + -1(3x + 2) = 10

Reorder the terms:
4 + 3(5 + 8x) + -1(3x + 2) = 10
4 + (5 * 3 + 8x * 3) + -1(3x + 2) = 10
4 + (15 + 24x) + -1(3x + 2) = 10

Reorder the terms:
4 + 15 + 24x + -1(2 + 3x) = 10
4 + 15 + 24x + (2 * -1 + 3x * -1) = 10
4 + 15 + 24x + (-2 + -3x) = 10

Reorder the terms:
4 + 15 + -2 + 24x + -3x = 10

Combine like terms: 4 + 15 = 19
19 + -2 + 24x + -3x = 10

Combine like terms: 19 + -2 = 17
17 + 24x + -3x = 10

Combine like terms: 24x + -3x = 21x
17 + 21x = 10

Solving
17 + 21x = 10

Solving for variable 'x'.

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

Add '-17' to each side of the equation.
17 + -17 + 21x = 10 + -17

Combine like terms: 17 + -17 = 0
0 + 21x = 10 + -17
21x = 10 + -17

Combine like terms: 10 + -17 = -7
21x = -7

Divide each side by '21'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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