3(2x-5)-(7x-6)=-10

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Solution for 3(2x-5)-(7x-6)=-10 equation:


Simplifying
3(2x + -5) + -1(7x + -6) = -10

Reorder the terms:
3(-5 + 2x) + -1(7x + -6) = -10
(-5 * 3 + 2x * 3) + -1(7x + -6) = -10
(-15 + 6x) + -1(7x + -6) = -10

Reorder the terms:
-15 + 6x + -1(-6 + 7x) = -10
-15 + 6x + (-6 * -1 + 7x * -1) = -10
-15 + 6x + (6 + -7x) = -10

Reorder the terms:
-15 + 6 + 6x + -7x = -10

Combine like terms: -15 + 6 = -9
-9 + 6x + -7x = -10

Combine like terms: 6x + -7x = -1x
-9 + -1x = -10

Solving
-9 + -1x = -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 + -1x = -10 + 9

Combine like terms: -9 + 9 = 0
0 + -1x = -10 + 9
-1x = -10 + 9

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

Divide each side by '-1'.
x = 1

Simplifying
x = 1

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