4(6x-2)+2(7-4x)=5(3x+5)-3

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Solution for 4(6x-2)+2(7-4x)=5(3x+5)-3 equation:


Simplifying
4(6x + -2) + 2(7 + -4x) = 5(3x + 5) + -3

Reorder the terms:
4(-2 + 6x) + 2(7 + -4x) = 5(3x + 5) + -3
(-2 * 4 + 6x * 4) + 2(7 + -4x) = 5(3x + 5) + -3
(-8 + 24x) + 2(7 + -4x) = 5(3x + 5) + -3
-8 + 24x + (7 * 2 + -4x * 2) = 5(3x + 5) + -3
-8 + 24x + (14 + -8x) = 5(3x + 5) + -3

Reorder the terms:
-8 + 14 + 24x + -8x = 5(3x + 5) + -3

Combine like terms: -8 + 14 = 6
6 + 24x + -8x = 5(3x + 5) + -3

Combine like terms: 24x + -8x = 16x
6 + 16x = 5(3x + 5) + -3

Reorder the terms:
6 + 16x = 5(5 + 3x) + -3
6 + 16x = (5 * 5 + 3x * 5) + -3
6 + 16x = (25 + 15x) + -3

Reorder the terms:
6 + 16x = 25 + -3 + 15x

Combine like terms: 25 + -3 = 22
6 + 16x = 22 + 15x

Solving
6 + 16x = 22 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
6 + 16x + -15x = 22 + 15x + -15x

Combine like terms: 16x + -15x = 1x
6 + 1x = 22 + 15x + -15x

Combine like terms: 15x + -15x = 0
6 + 1x = 22 + 0
6 + 1x = 22

Add '-6' to each side of the equation.
6 + -6 + 1x = 22 + -6

Combine like terms: 6 + -6 = 0
0 + 1x = 22 + -6
1x = 22 + -6

Combine like terms: 22 + -6 = 16
1x = 16

Divide each side by '1'.
x = 16

Simplifying
x = 16

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