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

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


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

Reorder the terms:
4(7 + x) = 5(x + -6)
(7 * 4 + x * 4) = 5(x + -6)
(28 + 4x) = 5(x + -6)

Reorder the terms:
28 + 4x = 5(-6 + x)
28 + 4x = (-6 * 5 + x * 5)
28 + 4x = (-30 + 5x)

Solving
28 + 4x = -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.
28 + 4x + -5x = -30 + 5x + -5x

Combine like terms: 4x + -5x = -1x
28 + -1x = -30 + 5x + -5x

Combine like terms: 5x + -5x = 0
28 + -1x = -30 + 0
28 + -1x = -30

Add '-28' to each side of the equation.
28 + -28 + -1x = -30 + -28

Combine like terms: 28 + -28 = 0
0 + -1x = -30 + -28
-1x = -30 + -28

Combine like terms: -30 + -28 = -58
-1x = -58

Divide each side by '-1'.
x = 58

Simplifying
x = 58

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