2-7x+11x=-2(-5x+8)

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Solution for 2-7x+11x=-2(-5x+8) equation:


Simplifying
2 + -7x + 11x = -2(-5x + 8)

Combine like terms: -7x + 11x = 4x
2 + 4x = -2(-5x + 8)

Reorder the terms:
2 + 4x = -2(8 + -5x)
2 + 4x = (8 * -2 + -5x * -2)
2 + 4x = (-16 + 10x)

Solving
2 + 4x = -16 + 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.
2 + 4x + -10x = -16 + 10x + -10x

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

Combine like terms: 10x + -10x = 0
2 + -6x = -16 + 0
2 + -6x = -16

Add '-2' to each side of the equation.
2 + -2 + -6x = -16 + -2

Combine like terms: 2 + -2 = 0
0 + -6x = -16 + -2
-6x = -16 + -2

Combine like terms: -16 + -2 = -18
-6x = -18

Divide each side by '-6'.
x = 3

Simplifying
x = 3

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