5(2x-3)-(7x-5)=11

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Solution for 5(2x-3)-(7x-5)=11 equation:


Simplifying
5(2x + -3) + -1(7x + -5) = 11

Reorder the terms:
5(-3 + 2x) + -1(7x + -5) = 11
(-3 * 5 + 2x * 5) + -1(7x + -5) = 11
(-15 + 10x) + -1(7x + -5) = 11

Reorder the terms:
-15 + 10x + -1(-5 + 7x) = 11
-15 + 10x + (-5 * -1 + 7x * -1) = 11
-15 + 10x + (5 + -7x) = 11

Reorder the terms:
-15 + 5 + 10x + -7x = 11

Combine like terms: -15 + 5 = -10
-10 + 10x + -7x = 11

Combine like terms: 10x + -7x = 3x
-10 + 3x = 11

Solving
-10 + 3x = 11

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + 3x = 11 + 10

Combine like terms: -10 + 10 = 0
0 + 3x = 11 + 10
3x = 11 + 10

Combine like terms: 11 + 10 = 21
3x = 21

Divide each side by '3'.
x = 7

Simplifying
x = 7

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