10-4(x+2)=6(x+5)-10

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Solution for 10-4(x+2)=6(x+5)-10 equation: 


Simplifying
10 + -4(x + 2) = 6(x + 5) + -10

Reorder the terms:
10 + -4(2 + x) = 6(x + 5) + -10
10 + (2 * -4 + x * -4) = 6(x + 5) + -10
10 + (-8 + -4x) = 6(x + 5) + -10

Combine like terms: 10 + -8 = 2
2 + -4x = 6(x + 5) + -10

Reorder the terms:
2 + -4x = 6(5 + x) + -10
2 + -4x = (5 * 6 + x * 6) + -10
2 + -4x = (30 + 6x) + -10

Reorder the terms:
2 + -4x = 30 + -10 + 6x

Combine like terms: 30 + -10 = 20
2 + -4x = 20 + 6x

Solving
2 + -4x = 20 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
2 + -4x + -6x = 20 + 6x + -6x

Combine like terms: -4x + -6x = -10x
2 + -10x = 20 + 6x + -6x

Combine like terms: 6x + -6x = 0
2 + -10x = 20 + 0
2 + -10x = 20

Add '-2' to each side of the equation.
2 + -2 + -10x = 20 + -2

Combine like terms: 2 + -2 = 0
0 + -10x = 20 + -2
-10x = 20 + -2

Combine like terms: 20 + -2 = 18
-10x = 18

Divide each side by '-10'.
x = -1.8

Simplifying
x = -1.8

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