8(4-3x)+7(x-3)+3(9+7x)=10

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Solution for 8(4-3x)+7(x-3)+3(9+7x)=10 equation: 


Simplifying
8(4 + -3x) + 7(x + -3) + 3(9 + 7x) = 10
(4 * 8 + -3x * 8) + 7(x + -3) + 3(9 + 7x) = 10
(32 + -24x) + 7(x + -3) + 3(9 + 7x) = 10

Reorder the terms:
32 + -24x + 7(-3 + x) + 3(9 + 7x) = 10
32 + -24x + (-3 * 7 + x * 7) + 3(9 + 7x) = 10
32 + -24x + (-21 + 7x) + 3(9 + 7x) = 10
32 + -24x + -21 + 7x + (9 * 3 + 7x * 3) = 10
32 + -24x + -21 + 7x + (27 + 21x) = 10

Reorder the terms:
32 + -21 + 27 + -24x + 7x + 21x = 10

Combine like terms: 32 + -21 = 11
11 + 27 + -24x + 7x + 21x = 10

Combine like terms: 11 + 27 = 38
38 + -24x + 7x + 21x = 10

Combine like terms: -24x + 7x = -17x
38 + -17x + 21x = 10

Combine like terms: -17x + 21x = 4x
38 + 4x = 10

Solving
38 + 4x = 10

Solving for variable 'x'.

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

Add '-38' to each side of the equation.
38 + -38 + 4x = 10 + -38

Combine like terms: 38 + -38 = 0
0 + 4x = 10 + -38
4x = 10 + -38

Combine like terms: 10 + -38 = -28
4x = -28

Divide each side by '4'.
x = -7

Simplifying
x = -7

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