2(x+5)=3x-4

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


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

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

Reorder the terms:
10 + 2x = -4 + 3x

Solving
10 + 2x = -4 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
10 + 2x + -3x = -4 + 3x + -3x

Combine like terms: 2x + -3x = -1x
10 + -1x = -4 + 3x + -3x

Combine like terms: 3x + -3x = 0
10 + -1x = -4 + 0
10 + -1x = -4

Add '-10' to each side of the equation.
10 + -10 + -1x = -4 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = -4 + -10
-1x = -4 + -10

Combine like terms: -4 + -10 = -14
-1x = -14

Divide each side by '-1'.
x = 14

Simplifying
x = 14

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