4(4x-3)-2(3x-5)=4x+13

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Solution for 4(4x-3)-2(3x-5)=4x+13 equation:


Simplifying
4(4x + -3) + -2(3x + -5) = 4x + 13

Reorder the terms:
4(-3 + 4x) + -2(3x + -5) = 4x + 13
(-3 * 4 + 4x * 4) + -2(3x + -5) = 4x + 13
(-12 + 16x) + -2(3x + -5) = 4x + 13

Reorder the terms:
-12 + 16x + -2(-5 + 3x) = 4x + 13
-12 + 16x + (-5 * -2 + 3x * -2) = 4x + 13
-12 + 16x + (10 + -6x) = 4x + 13

Reorder the terms:
-12 + 10 + 16x + -6x = 4x + 13

Combine like terms: -12 + 10 = -2
-2 + 16x + -6x = 4x + 13

Combine like terms: 16x + -6x = 10x
-2 + 10x = 4x + 13

Reorder the terms:
-2 + 10x = 13 + 4x

Solving
-2 + 10x = 13 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-2 + 10x + -4x = 13 + 4x + -4x

Combine like terms: 10x + -4x = 6x
-2 + 6x = 13 + 4x + -4x

Combine like terms: 4x + -4x = 0
-2 + 6x = 13 + 0
-2 + 6x = 13

Add '2' to each side of the equation.
-2 + 2 + 6x = 13 + 2

Combine like terms: -2 + 2 = 0
0 + 6x = 13 + 2
6x = 13 + 2

Combine like terms: 13 + 2 = 15
6x = 15

Divide each side by '6'.
x = 2.5

Simplifying
x = 2.5

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