4x-6(5x+1)+8(x-3)=14-10(x+2)

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Solution for 4x-6(5x+1)+8(x-3)=14-10(x+2) equation:


Simplifying
4x + -6(5x + 1) + 8(x + -3) = 14 + -10(x + 2)

Reorder the terms:
4x + -6(1 + 5x) + 8(x + -3) = 14 + -10(x + 2)
4x + (1 * -6 + 5x * -6) + 8(x + -3) = 14 + -10(x + 2)
4x + (-6 + -30x) + 8(x + -3) = 14 + -10(x + 2)

Reorder the terms:
4x + -6 + -30x + 8(-3 + x) = 14 + -10(x + 2)
4x + -6 + -30x + (-3 * 8 + x * 8) = 14 + -10(x + 2)
4x + -6 + -30x + (-24 + 8x) = 14 + -10(x + 2)

Reorder the terms:
-6 + -24 + 4x + -30x + 8x = 14 + -10(x + 2)

Combine like terms: -6 + -24 = -30
-30 + 4x + -30x + 8x = 14 + -10(x + 2)

Combine like terms: 4x + -30x = -26x
-30 + -26x + 8x = 14 + -10(x + 2)

Combine like terms: -26x + 8x = -18x
-30 + -18x = 14 + -10(x + 2)

Reorder the terms:
-30 + -18x = 14 + -10(2 + x)
-30 + -18x = 14 + (2 * -10 + x * -10)
-30 + -18x = 14 + (-20 + -10x)

Combine like terms: 14 + -20 = -6
-30 + -18x = -6 + -10x

Solving
-30 + -18x = -6 + -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.
-30 + -18x + 10x = -6 + -10x + 10x

Combine like terms: -18x + 10x = -8x
-30 + -8x = -6 + -10x + 10x

Combine like terms: -10x + 10x = 0
-30 + -8x = -6 + 0
-30 + -8x = -6

Add '30' to each side of the equation.
-30 + 30 + -8x = -6 + 30

Combine like terms: -30 + 30 = 0
0 + -8x = -6 + 30
-8x = -6 + 30

Combine like terms: -6 + 30 = 24
-8x = 24

Divide each side by '-8'.
x = -3

Simplifying
x = -3

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