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

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


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

Reorder the terms:
4 + 6x = 5(x + 5) + -3

Reorder the terms:
4 + 6x = 5(5 + x) + -3
4 + 6x = (5 * 5 + x * 5) + -3
4 + 6x = (25 + 5x) + -3

Reorder the terms:
4 + 6x = 25 + -3 + 5x

Combine like terms: 25 + -3 = 22
4 + 6x = 22 + 5x

Solving
4 + 6x = 22 + 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.
4 + 6x + -5x = 22 + 5x + -5x

Combine like terms: 6x + -5x = 1x
4 + 1x = 22 + 5x + -5x

Combine like terms: 5x + -5x = 0
4 + 1x = 22 + 0
4 + 1x = 22

Add '-4' to each side of the equation.
4 + -4 + 1x = 22 + -4

Combine like terms: 4 + -4 = 0
0 + 1x = 22 + -4
1x = 22 + -4

Combine like terms: 22 + -4 = 18
1x = 18

Divide each side by '1'.
x = 18

Simplifying
x = 18

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