4(x-1)-7(x-6)=5(x+6)

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Solution for 4(x-1)-7(x-6)=5(x+6) equation:


Simplifying
4(x + -1) + -7(x + -6) = 5(x + 6)

Reorder the terms:
4(-1 + x) + -7(x + -6) = 5(x + 6)
(-1 * 4 + x * 4) + -7(x + -6) = 5(x + 6)
(-4 + 4x) + -7(x + -6) = 5(x + 6)

Reorder the terms:
-4 + 4x + -7(-6 + x) = 5(x + 6)
-4 + 4x + (-6 * -7 + x * -7) = 5(x + 6)
-4 + 4x + (42 + -7x) = 5(x + 6)

Reorder the terms:
-4 + 42 + 4x + -7x = 5(x + 6)

Combine like terms: -4 + 42 = 38
38 + 4x + -7x = 5(x + 6)

Combine like terms: 4x + -7x = -3x
38 + -3x = 5(x + 6)

Reorder the terms:
38 + -3x = 5(6 + x)
38 + -3x = (6 * 5 + x * 5)
38 + -3x = (30 + 5x)

Solving
38 + -3x = 30 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
38 + -3x + -5x = 30 + 5x + -5x

Combine like terms: -3x + -5x = -8x
38 + -8x = 30 + 5x + -5x

Combine like terms: 5x + -5x = 0
38 + -8x = 30 + 0
38 + -8x = 30

Add '-38' to each side of the equation.
38 + -38 + -8x = 30 + -38

Combine like terms: 38 + -38 = 0
0 + -8x = 30 + -38
-8x = 30 + -38

Combine like terms: 30 + -38 = -8
-8x = -8

Divide each side by '-8'.
x = 1

Simplifying
x = 1

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