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

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


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

Reorder the terms:
2(5 + x) + -3(4 + -1x) = 3
(5 * 2 + x * 2) + -3(4 + -1x) = 3
(10 + 2x) + -3(4 + -1x) = 3
10 + 2x + (4 * -3 + -1x * -3) = 3
10 + 2x + (-12 + 3x) = 3

Reorder the terms:
10 + -12 + 2x + 3x = 3

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

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

Solving
-2 + 5x = 3

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + 5x = 3 + 2

Combine like terms: -2 + 2 = 0
0 + 5x = 3 + 2
5x = 3 + 2

Combine like terms: 3 + 2 = 5
5x = 5

Divide each side by '5'.
x = 1

Simplifying
x = 1

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