10(x-3)-8(1-2x)=-64

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Solution for 10(x-3)-8(1-2x)=-64 equation:


Simplifying
10(x + -3) + -8(1 + -2x) = -64

Reorder the terms:
10(-3 + x) + -8(1 + -2x) = -64
(-3 * 10 + x * 10) + -8(1 + -2x) = -64
(-30 + 10x) + -8(1 + -2x) = -64
-30 + 10x + (1 * -8 + -2x * -8) = -64
-30 + 10x + (-8 + 16x) = -64

Reorder the terms:
-30 + -8 + 10x + 16x = -64

Combine like terms: -30 + -8 = -38
-38 + 10x + 16x = -64

Combine like terms: 10x + 16x = 26x
-38 + 26x = -64

Solving
-38 + 26x = -64

Solving for variable 'x'.

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

Add '38' to each side of the equation.
-38 + 38 + 26x = -64 + 38

Combine like terms: -38 + 38 = 0
0 + 26x = -64 + 38
26x = -64 + 38

Combine like terms: -64 + 38 = -26
26x = -26

Divide each side by '26'.
x = -1

Simplifying
x = -1

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