2(2x-5)-6x=-4(1+x)

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Solution for 2(2x-5)-6x=-4(1+x) equation: 


Simplifying
2(2x + -5) + -6x = -4(1 + x)

Reorder the terms:
2(-5 + 2x) + -6x = -4(1 + x)
(-5 * 2 + 2x * 2) + -6x = -4(1 + x)
(-10 + 4x) + -6x = -4(1 + x)

Combine like terms: 4x + -6x = -2x
-10 + -2x = -4(1 + x)
-10 + -2x = (1 * -4 + x * -4)
-10 + -2x = (-4 + -4x)

Solving
-10 + -2x = -4 + -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.
-10 + -2x + 4x = -4 + -4x + 4x

Combine like terms: -2x + 4x = 2x
-10 + 2x = -4 + -4x + 4x

Combine like terms: -4x + 4x = 0
-10 + 2x = -4 + 0
-10 + 2x = -4

Add '10' to each side of the equation.
-10 + 10 + 2x = -4 + 10

Combine like terms: -10 + 10 = 0
0 + 2x = -4 + 10
2x = -4 + 10

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

Divide each side by '2'.
x = 3

Simplifying
x = 3

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