4(10-3x)-3(16-5x)=1

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Solution for 4(10-3x)-3(16-5x)=1 equation:


Simplifying
4(10 + -3x) + -3(16 + -5x) = 1
(10 * 4 + -3x * 4) + -3(16 + -5x) = 1
(40 + -12x) + -3(16 + -5x) = 1
40 + -12x + (16 * -3 + -5x * -3) = 1
40 + -12x + (-48 + 15x) = 1

Reorder the terms:
40 + -48 + -12x + 15x = 1

Combine like terms: 40 + -48 = -8
-8 + -12x + 15x = 1

Combine like terms: -12x + 15x = 3x
-8 + 3x = 1

Solving
-8 + 3x = 1

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + 3x = 1 + 8

Combine like terms: -8 + 8 = 0
0 + 3x = 1 + 8
3x = 1 + 8

Combine like terms: 1 + 8 = 9
3x = 9

Divide each side by '3'.
x = 3

Simplifying
x = 3

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