8(x-5)-2(x-3)=10-4(2x-3)

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Solution for 8(x-5)-2(x-3)=10-4(2x-3) equation:


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

Reorder the terms:
8(-5 + x) + -2(x + -3) = 10 + -4(2x + -3)
(-5 * 8 + x * 8) + -2(x + -3) = 10 + -4(2x + -3)
(-40 + 8x) + -2(x + -3) = 10 + -4(2x + -3)

Reorder the terms:
-40 + 8x + -2(-3 + x) = 10 + -4(2x + -3)
-40 + 8x + (-3 * -2 + x * -2) = 10 + -4(2x + -3)
-40 + 8x + (6 + -2x) = 10 + -4(2x + -3)

Reorder the terms:
-40 + 6 + 8x + -2x = 10 + -4(2x + -3)

Combine like terms: -40 + 6 = -34
-34 + 8x + -2x = 10 + -4(2x + -3)

Combine like terms: 8x + -2x = 6x
-34 + 6x = 10 + -4(2x + -3)

Reorder the terms:
-34 + 6x = 10 + -4(-3 + 2x)
-34 + 6x = 10 + (-3 * -4 + 2x * -4)
-34 + 6x = 10 + (12 + -8x)

Combine like terms: 10 + 12 = 22
-34 + 6x = 22 + -8x

Solving
-34 + 6x = 22 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-34 + 6x + 8x = 22 + -8x + 8x

Combine like terms: 6x + 8x = 14x
-34 + 14x = 22 + -8x + 8x

Combine like terms: -8x + 8x = 0
-34 + 14x = 22 + 0
-34 + 14x = 22

Add '34' to each side of the equation.
-34 + 34 + 14x = 22 + 34

Combine like terms: -34 + 34 = 0
0 + 14x = 22 + 34
14x = 22 + 34

Combine like terms: 22 + 34 = 56
14x = 56

Divide each side by '14'.
x = 4

Simplifying
x = 4

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