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

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


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

Reorder the terms:
2(3 + x) + -5(x + -2) = 4
(3 * 2 + x * 2) + -5(x + -2) = 4
(6 + 2x) + -5(x + -2) = 4

Reorder the terms:
6 + 2x + -5(-2 + x) = 4
6 + 2x + (-2 * -5 + x * -5) = 4
6 + 2x + (10 + -5x) = 4

Reorder the terms:
6 + 10 + 2x + -5x = 4

Combine like terms: 6 + 10 = 16
16 + 2x + -5x = 4

Combine like terms: 2x + -5x = -3x
16 + -3x = 4

Solving
16 + -3x = 4

Solving for variable 'x'.

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

Add '-16' to each side of the equation.
16 + -16 + -3x = 4 + -16

Combine like terms: 16 + -16 = 0
0 + -3x = 4 + -16
-3x = 4 + -16

Combine like terms: 4 + -16 = -12
-3x = -12

Divide each side by '-3'.
x = 4

Simplifying
x = 4

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