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

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


Simplifying
4(3x + 10) = 6x + -1(10 + 4x)

Reorder the terms:
4(10 + 3x) = 6x + -1(10 + 4x)
(10 * 4 + 3x * 4) = 6x + -1(10 + 4x)
(40 + 12x) = 6x + -1(10 + 4x)
40 + 12x = 6x + (10 * -1 + 4x * -1)
40 + 12x = 6x + (-10 + -4x)

Reorder the terms:
40 + 12x = -10 + 6x + -4x

Combine like terms: 6x + -4x = 2x
40 + 12x = -10 + 2x

Solving
40 + 12x = -10 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
40 + 12x + -2x = -10 + 2x + -2x

Combine like terms: 12x + -2x = 10x
40 + 10x = -10 + 2x + -2x

Combine like terms: 2x + -2x = 0
40 + 10x = -10 + 0
40 + 10x = -10

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

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

Combine like terms: -10 + -40 = -50
10x = -50

Divide each side by '10'.
x = -5

Simplifying
x = -5

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