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

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


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

Reorder the terms:
4(-3 + 4x) + -2(x + -5) = x + -1
(-3 * 4 + 4x * 4) + -2(x + -5) = x + -1
(-12 + 16x) + -2(x + -5) = x + -1

Reorder the terms:
-12 + 16x + -2(-5 + x) = x + -1
-12 + 16x + (-5 * -2 + x * -2) = x + -1
-12 + 16x + (10 + -2x) = x + -1

Reorder the terms:
-12 + 10 + 16x + -2x = x + -1

Combine like terms: -12 + 10 = -2
-2 + 16x + -2x = x + -1

Combine like terms: 16x + -2x = 14x
-2 + 14x = x + -1

Reorder the terms:
-2 + 14x = -1 + x

Solving
-2 + 14x = -1 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-2 + 14x + -1x = -1 + x + -1x

Combine like terms: 14x + -1x = 13x
-2 + 13x = -1 + x + -1x

Combine like terms: x + -1x = 0
-2 + 13x = -1 + 0
-2 + 13x = -1

Add '2' to each side of the equation.
-2 + 2 + 13x = -1 + 2

Combine like terms: -2 + 2 = 0
0 + 13x = -1 + 2
13x = -1 + 2

Combine like terms: -1 + 2 = 1
13x = 1

Divide each side by '13'.
x = 0.07692307692

Simplifying
x = 0.07692307692

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