4(x-8)-4(8-3x)=15(x-4)+3

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Solution for 4(x-8)-4(8-3x)=15(x-4)+3 equation:


Simplifying
4(x + -8) + -4(8 + -3x) = 15(x + -4) + 3

Reorder the terms:
4(-8 + x) + -4(8 + -3x) = 15(x + -4) + 3
(-8 * 4 + x * 4) + -4(8 + -3x) = 15(x + -4) + 3
(-32 + 4x) + -4(8 + -3x) = 15(x + -4) + 3
-32 + 4x + (8 * -4 + -3x * -4) = 15(x + -4) + 3
-32 + 4x + (-32 + 12x) = 15(x + -4) + 3

Reorder the terms:
-32 + -32 + 4x + 12x = 15(x + -4) + 3

Combine like terms: -32 + -32 = -64
-64 + 4x + 12x = 15(x + -4) + 3

Combine like terms: 4x + 12x = 16x
-64 + 16x = 15(x + -4) + 3

Reorder the terms:
-64 + 16x = 15(-4 + x) + 3
-64 + 16x = (-4 * 15 + x * 15) + 3
-64 + 16x = (-60 + 15x) + 3

Reorder the terms:
-64 + 16x = -60 + 3 + 15x

Combine like terms: -60 + 3 = -57
-64 + 16x = -57 + 15x

Solving
-64 + 16x = -57 + 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.
-64 + 16x + -15x = -57 + 15x + -15x

Combine like terms: 16x + -15x = 1x
-64 + 1x = -57 + 15x + -15x

Combine like terms: 15x + -15x = 0
-64 + 1x = -57 + 0
-64 + 1x = -57

Add '64' to each side of the equation.
-64 + 64 + 1x = -57 + 64

Combine like terms: -64 + 64 = 0
0 + 1x = -57 + 64
1x = -57 + 64

Combine like terms: -57 + 64 = 7
1x = 7

Divide each side by '1'.
x = 7

Simplifying
x = 7

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