5(2x+1)+3(x-4)=71

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Solution for 5(2x+1)+3(x-4)=71 equation:


Simplifying
5(2x + 1) + 3(x + -4) = 71

Reorder the terms:
5(1 + 2x) + 3(x + -4) = 71
(1 * 5 + 2x * 5) + 3(x + -4) = 71
(5 + 10x) + 3(x + -4) = 71

Reorder the terms:
5 + 10x + 3(-4 + x) = 71
5 + 10x + (-4 * 3 + x * 3) = 71
5 + 10x + (-12 + 3x) = 71

Reorder the terms:
5 + -12 + 10x + 3x = 71

Combine like terms: 5 + -12 = -7
-7 + 10x + 3x = 71

Combine like terms: 10x + 3x = 13x
-7 + 13x = 71

Solving
-7 + 13x = 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 + 13x = 71 + 7

Combine like terms: -7 + 7 = 0
0 + 13x = 71 + 7
13x = 71 + 7

Combine like terms: 71 + 7 = 78
13x = 78

Divide each side by '13'.
x = 6

Simplifying
x = 6

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