2(x+1)+3(x-4)=70

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Solution for 2(x+1)+3(x-4)=70 equation: 


Simplifying
2(x + 1) + 3(x + -4) = 70

Reorder the terms:
2(1 + x) + 3(x + -4) = 70
(1 * 2 + x * 2) + 3(x + -4) = 70
(2 + 2x) + 3(x + -4) = 70

Reorder the terms:
2 + 2x + 3(-4 + x) = 70
2 + 2x + (-4 * 3 + x * 3) = 70
2 + 2x + (-12 + 3x) = 70

Reorder the terms:
2 + -12 + 2x + 3x = 70

Combine like terms: 2 + -12 = -10
-10 + 2x + 3x = 70

Combine like terms: 2x + 3x = 5x
-10 + 5x = 70

Solving
-10 + 5x = 70

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 + 5x = 70 + 10

Combine like terms: -10 + 10 = 0
0 + 5x = 70 + 10
5x = 70 + 10

Combine like terms: 70 + 10 = 80
5x = 80

Divide each side by '5'.
x = 16

Simplifying
x = 16

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