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

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


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

Reorder the terms:
4(-5 + x) + -3(x + -2) = 1
(-5 * 4 + x * 4) + -3(x + -2) = 1
(-20 + 4x) + -3(x + -2) = 1

Reorder the terms:
-20 + 4x + -3(-2 + x) = 1
-20 + 4x + (-2 * -3 + x * -3) = 1
-20 + 4x + (6 + -3x) = 1

Reorder the terms:
-20 + 6 + 4x + -3x = 1

Combine like terms: -20 + 6 = -14
-14 + 4x + -3x = 1

Combine like terms: 4x + -3x = 1x
-14 + 1x = 1

Solving
-14 + 1x = 1

Solving for variable 'x'.

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

Add '14' to each side of the equation.
-14 + 14 + 1x = 1 + 14

Combine like terms: -14 + 14 = 0
0 + 1x = 1 + 14
1x = 1 + 14

Combine like terms: 1 + 14 = 15
1x = 15

Divide each side by '1'.
x = 15

Simplifying
x = 15

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