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

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


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

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

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

Reorder the terms:
10 + 2x = -12 + 4 + 3x

Combine like terms: -12 + 4 = -8
10 + 2x = -8 + 3x

Solving
10 + 2x = -8 + 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 = -8 + 3x + -3x

Combine like terms: 2x + -3x = -1x
10 + -1x = -8 + 3x + -3x

Combine like terms: 3x + -3x = 0
10 + -1x = -8 + 0
10 + -1x = -8

Add '-10' to each side of the equation.
10 + -10 + -1x = -8 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = -8 + -10
-1x = -8 + -10

Combine like terms: -8 + -10 = -18
-1x = -18

Divide each side by '-1'.
x = 18

Simplifying
x = 18

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