6(x+4)+2=-4(x-11)-1

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Solution for 6(x+4)+2=-4(x-11)-1 equation:


Simplifying
6(x + 4) + 2 = -4(x + -11) + -1

Reorder the terms:
6(4 + x) + 2 = -4(x + -11) + -1
(4 * 6 + x * 6) + 2 = -4(x + -11) + -1
(24 + 6x) + 2 = -4(x + -11) + -1

Reorder the terms:
24 + 2 + 6x = -4(x + -11) + -1

Combine like terms: 24 + 2 = 26
26 + 6x = -4(x + -11) + -1

Reorder the terms:
26 + 6x = -4(-11 + x) + -1
26 + 6x = (-11 * -4 + x * -4) + -1
26 + 6x = (44 + -4x) + -1

Reorder the terms:
26 + 6x = 44 + -1 + -4x

Combine like terms: 44 + -1 = 43
26 + 6x = 43 + -4x

Solving
26 + 6x = 43 + -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.
26 + 6x + 4x = 43 + -4x + 4x

Combine like terms: 6x + 4x = 10x
26 + 10x = 43 + -4x + 4x

Combine like terms: -4x + 4x = 0
26 + 10x = 43 + 0
26 + 10x = 43

Add '-26' to each side of the equation.
26 + -26 + 10x = 43 + -26

Combine like terms: 26 + -26 = 0
0 + 10x = 43 + -26
10x = 43 + -26

Combine like terms: 43 + -26 = 17
10x = 17

Divide each side by '10'.
x = 1.7

Simplifying
x = 1.7

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