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

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


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

Reorder the terms:
4(5 + x) + 6 = 5(x + 4) + 7
(5 * 4 + x * 4) + 6 = 5(x + 4) + 7
(20 + 4x) + 6 = 5(x + 4) + 7

Reorder the terms:
20 + 6 + 4x = 5(x + 4) + 7

Combine like terms: 20 + 6 = 26
26 + 4x = 5(x + 4) + 7

Reorder the terms:
26 + 4x = 5(4 + x) + 7
26 + 4x = (4 * 5 + x * 5) + 7
26 + 4x = (20 + 5x) + 7

Reorder the terms:
26 + 4x = 20 + 7 + 5x

Combine like terms: 20 + 7 = 27
26 + 4x = 27 + 5x

Solving
26 + 4x = 27 + 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.
26 + 4x + -5x = 27 + 5x + -5x

Combine like terms: 4x + -5x = -1x
26 + -1x = 27 + 5x + -5x

Combine like terms: 5x + -5x = 0
26 + -1x = 27 + 0
26 + -1x = 27

Add '-26' to each side of the equation.
26 + -26 + -1x = 27 + -26

Combine like terms: 26 + -26 = 0
0 + -1x = 27 + -26
-1x = 27 + -26

Combine like terms: 27 + -26 = 1
-1x = 1

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

Simplifying
x = -1

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