6x-10(x+4)=3(x-4)

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Solution for 6x-10(x+4)=3(x-4) equation: 


Simplifying
6x + -10(x + 4) = 3(x + -4)

Reorder the terms:
6x + -10(4 + x) = 3(x + -4)
6x + (4 * -10 + x * -10) = 3(x + -4)
6x + (-40 + -10x) = 3(x + -4)

Reorder the terms:
-40 + 6x + -10x = 3(x + -4)

Combine like terms: 6x + -10x = -4x
-40 + -4x = 3(x + -4)

Reorder the terms:
-40 + -4x = 3(-4 + x)
-40 + -4x = (-4 * 3 + x * 3)
-40 + -4x = (-12 + 3x)

Solving
-40 + -4x = -12 + 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.
-40 + -4x + -3x = -12 + 3x + -3x

Combine like terms: -4x + -3x = -7x
-40 + -7x = -12 + 3x + -3x

Combine like terms: 3x + -3x = 0
-40 + -7x = -12 + 0
-40 + -7x = -12

Add '40' to each side of the equation.
-40 + 40 + -7x = -12 + 40

Combine like terms: -40 + 40 = 0
0 + -7x = -12 + 40
-7x = -12 + 40

Combine like terms: -12 + 40 = 28
-7x = 28

Divide each side by '-7'.
x = -4

Simplifying
x = -4

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