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

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


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

Reorder the terms:
4(-5 + 4x) + 3 = (3x + -1) + -2(x + -4)
(-5 * 4 + 4x * 4) + 3 = (3x + -1) + -2(x + -4)
(-20 + 16x) + 3 = (3x + -1) + -2(x + -4)

Reorder the terms:
-20 + 3 + 16x = (3x + -1) + -2(x + -4)

Combine like terms: -20 + 3 = -17
-17 + 16x = (3x + -1) + -2(x + -4)

Reorder the terms:
-17 + 16x = (-1 + 3x) + -2(x + -4)

Remove parenthesis around (-1 + 3x)
-17 + 16x = -1 + 3x + -2(x + -4)

Reorder the terms:
-17 + 16x = -1 + 3x + -2(-4 + x)
-17 + 16x = -1 + 3x + (-4 * -2 + x * -2)
-17 + 16x = -1 + 3x + (8 + -2x)

Reorder the terms:
-17 + 16x = -1 + 8 + 3x + -2x

Combine like terms: -1 + 8 = 7
-17 + 16x = 7 + 3x + -2x

Combine like terms: 3x + -2x = 1x
-17 + 16x = 7 + 1x

Solving
-17 + 16x = 7 + 1x

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.
-17 + 16x + -1x = 7 + 1x + -1x

Combine like terms: 16x + -1x = 15x
-17 + 15x = 7 + 1x + -1x

Combine like terms: 1x + -1x = 0
-17 + 15x = 7 + 0
-17 + 15x = 7

Add '17' to each side of the equation.
-17 + 17 + 15x = 7 + 17

Combine like terms: -17 + 17 = 0
0 + 15x = 7 + 17
15x = 7 + 17

Combine like terms: 7 + 17 = 24
15x = 24

Divide each side by '15'.
x = 1.6

Simplifying
x = 1.6

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