5(2x-3)-4(x-2)=71

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Solution for 5(2x-3)-4(x-2)=71 equation:


Simplifying
5(2x + -3) + -4(x + -2) = 71

Reorder the terms:
5(-3 + 2x) + -4(x + -2) = 71
(-3 * 5 + 2x * 5) + -4(x + -2) = 71
(-15 + 10x) + -4(x + -2) = 71

Reorder the terms:
-15 + 10x + -4(-2 + x) = 71
-15 + 10x + (-2 * -4 + x * -4) = 71
-15 + 10x + (8 + -4x) = 71

Reorder the terms:
-15 + 8 + 10x + -4x = 71

Combine like terms: -15 + 8 = -7
-7 + 10x + -4x = 71

Combine like terms: 10x + -4x = 6x
-7 + 6x = 71

Solving
-7 + 6x = 71

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + 6x = 71 + 7

Combine like terms: -7 + 7 = 0
0 + 6x = 71 + 7
6x = 71 + 7

Combine like terms: 71 + 7 = 78
6x = 78

Divide each side by '6'.
x = 13

Simplifying
x = 13

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