5(4-2x)-3(-3x+5)=1

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Solution for 5(4-2x)-3(-3x+5)=1 equation: 


Simplifying
5(4 + -2x) + -3(-3x + 5) = 1
(4 * 5 + -2x * 5) + -3(-3x + 5) = 1
(20 + -10x) + -3(-3x + 5) = 1

Reorder the terms:
20 + -10x + -3(5 + -3x) = 1
20 + -10x + (5 * -3 + -3x * -3) = 1
20 + -10x + (-15 + 9x) = 1

Reorder the terms:
20 + -15 + -10x + 9x = 1

Combine like terms: 20 + -15 = 5
5 + -10x + 9x = 1

Combine like terms: -10x + 9x = -1x
5 + -1x = 1

Solving
5 + -1x = 1

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 1 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 1 + -5
-1x = 1 + -5

Combine like terms: 1 + -5 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4

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