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

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


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

Reorder the terms:
4(-5 + x) + 6 = 3(x + 4)
(-5 * 4 + x * 4) + 6 = 3(x + 4)
(-20 + 4x) + 6 = 3(x + 4)

Reorder the terms:
-20 + 6 + 4x = 3(x + 4)

Combine like terms: -20 + 6 = -14
-14 + 4x = 3(x + 4)

Reorder the terms:
-14 + 4x = 3(4 + x)
-14 + 4x = (4 * 3 + x * 3)
-14 + 4x = (12 + 3x)

Solving
-14 + 4x = 12 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-14 + 4x + -3x = 12 + 3x + -3x

Combine like terms: 4x + -3x = 1x
-14 + 1x = 12 + 3x + -3x

Combine like terms: 3x + -3x = 0
-14 + 1x = 12 + 0
-14 + 1x = 12

Add '14' to each side of the equation.
-14 + 14 + 1x = 12 + 14

Combine like terms: -14 + 14 = 0
0 + 1x = 12 + 14
1x = 12 + 14

Combine like terms: 12 + 14 = 26
1x = 26

Divide each side by '1'.
x = 26

Simplifying
x = 26

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