6(x+10)+4=-4(x-3)-11

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Solution for 6(x+10)+4=-4(x-3)-11 equation:


Simplifying
6(x + 10) + 4 = -4(x + -3) + -11

Reorder the terms:
6(10 + x) + 4 = -4(x + -3) + -11
(10 * 6 + x * 6) + 4 = -4(x + -3) + -11
(60 + 6x) + 4 = -4(x + -3) + -11

Reorder the terms:
60 + 4 + 6x = -4(x + -3) + -11

Combine like terms: 60 + 4 = 64
64 + 6x = -4(x + -3) + -11

Reorder the terms:
64 + 6x = -4(-3 + x) + -11
64 + 6x = (-3 * -4 + x * -4) + -11
64 + 6x = (12 + -4x) + -11

Reorder the terms:
64 + 6x = 12 + -11 + -4x

Combine like terms: 12 + -11 = 1
64 + 6x = 1 + -4x

Solving
64 + 6x = 1 + -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.
64 + 6x + 4x = 1 + -4x + 4x

Combine like terms: 6x + 4x = 10x
64 + 10x = 1 + -4x + 4x

Combine like terms: -4x + 4x = 0
64 + 10x = 1 + 0
64 + 10x = 1

Add '-64' to each side of the equation.
64 + -64 + 10x = 1 + -64

Combine like terms: 64 + -64 = 0
0 + 10x = 1 + -64
10x = 1 + -64

Combine like terms: 1 + -64 = -63
10x = -63

Divide each side by '10'.
x = -6.3

Simplifying
x = -6.3

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