3(x+2)+4(x-5)=10(x+4)

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Solution for 3(x+2)+4(x-5)=10(x+4) equation:


Simplifying
3(x + 2) + 4(x + -5) = 10(x + 4)

Reorder the terms:
3(2 + x) + 4(x + -5) = 10(x + 4)
(2 * 3 + x * 3) + 4(x + -5) = 10(x + 4)
(6 + 3x) + 4(x + -5) = 10(x + 4)

Reorder the terms:
6 + 3x + 4(-5 + x) = 10(x + 4)
6 + 3x + (-5 * 4 + x * 4) = 10(x + 4)
6 + 3x + (-20 + 4x) = 10(x + 4)

Reorder the terms:
6 + -20 + 3x + 4x = 10(x + 4)

Combine like terms: 6 + -20 = -14
-14 + 3x + 4x = 10(x + 4)

Combine like terms: 3x + 4x = 7x
-14 + 7x = 10(x + 4)

Reorder the terms:
-14 + 7x = 10(4 + x)
-14 + 7x = (4 * 10 + x * 10)
-14 + 7x = (40 + 10x)

Solving
-14 + 7x = 40 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-14 + 7x + -10x = 40 + 10x + -10x

Combine like terms: 7x + -10x = -3x
-14 + -3x = 40 + 10x + -10x

Combine like terms: 10x + -10x = 0
-14 + -3x = 40 + 0
-14 + -3x = 40

Add '14' to each side of the equation.
-14 + 14 + -3x = 40 + 14

Combine like terms: -14 + 14 = 0
0 + -3x = 40 + 14
-3x = 40 + 14

Combine like terms: 40 + 14 = 54
-3x = 54

Divide each side by '-3'.
x = -18

Simplifying
x = -18

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