2*(5x-3)-7*(x+2)=-5

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


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

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

Reorder the terms:
-6 + 10x + -7(2 + x) = -5
-6 + 10x + (2 * -7 + x * -7) = -5
-6 + 10x + (-14 + -7x) = -5

Reorder the terms:
-6 + -14 + 10x + -7x = -5

Combine like terms: -6 + -14 = -20
-20 + 10x + -7x = -5

Combine like terms: 10x + -7x = 3x
-20 + 3x = -5

Solving
-20 + 3x = -5

Solving for variable 'x'.

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

Add '20' to each side of the equation.
-20 + 20 + 3x = -5 + 20

Combine like terms: -20 + 20 = 0
0 + 3x = -5 + 20
3x = -5 + 20

Combine like terms: -5 + 20 = 15
3x = 15

Divide each side by '3'.
x = 5

Simplifying
x = 5

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