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

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


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

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

Reorder the terms:
-4 + 6x + 4(5 + x) = 4(x + -2)
-4 + 6x + (5 * 4 + x * 4) = 4(x + -2)
-4 + 6x + (20 + 4x) = 4(x + -2)

Reorder the terms:
-4 + 20 + 6x + 4x = 4(x + -2)

Combine like terms: -4 + 20 = 16
16 + 6x + 4x = 4(x + -2)

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

Reorder the terms:
16 + 10x = 4(-2 + x)
16 + 10x = (-2 * 4 + x * 4)
16 + 10x = (-8 + 4x)

Solving
16 + 10x = -8 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
16 + 10x + -4x = -8 + 4x + -4x

Combine like terms: 10x + -4x = 6x
16 + 6x = -8 + 4x + -4x

Combine like terms: 4x + -4x = 0
16 + 6x = -8 + 0
16 + 6x = -8

Add '-16' to each side of the equation.
16 + -16 + 6x = -8 + -16

Combine like terms: 16 + -16 = 0
0 + 6x = -8 + -16
6x = -8 + -16

Combine like terms: -8 + -16 = -24
6x = -24

Divide each side by '6'.
x = -4

Simplifying
x = -4

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