3(5x-6)+7(10-x)=

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Solution for 3(5x-6)+7(10-x)= equation:


Simplifying
3(5x + -6) + 7(10 + -1x) = 0

Reorder the terms:
3(-6 + 5x) + 7(10 + -1x) = 0
(-6 * 3 + 5x * 3) + 7(10 + -1x) = 0
(-18 + 15x) + 7(10 + -1x) = 0
-18 + 15x + (10 * 7 + -1x * 7) = 0
-18 + 15x + (70 + -7x) = 0

Reorder the terms:
-18 + 70 + 15x + -7x = 0

Combine like terms: -18 + 70 = 52
52 + 15x + -7x = 0

Combine like terms: 15x + -7x = 8x
52 + 8x = 0

Solving
52 + 8x = 0

Solving for variable 'x'.

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

Add '-52' to each side of the equation.
52 + -52 + 8x = 0 + -52

Combine like terms: 52 + -52 = 0
0 + 8x = 0 + -52
8x = 0 + -52

Combine like terms: 0 + -52 = -52
8x = -52

Divide each side by '8'.
x = -6.5

Simplifying
x = -6.5

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