4(x-1)+10=5x+4

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Solution for 4(x-1)+10=5x+4 equation:


Simplifying
4(x + -1) + 10 = 5x + 4

Reorder the terms:
4(-1 + x) + 10 = 5x + 4
(-1 * 4 + x * 4) + 10 = 5x + 4
(-4 + 4x) + 10 = 5x + 4

Reorder the terms:
-4 + 10 + 4x = 5x + 4

Combine like terms: -4 + 10 = 6
6 + 4x = 5x + 4

Reorder the terms:
6 + 4x = 4 + 5x

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

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

Combine like terms: 5x + -5x = 0
6 + -1x = 4 + 0
6 + -1x = 4

Add '-6' to each side of the equation.
6 + -6 + -1x = 4 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 4 + -6
-1x = 4 + -6

Combine like terms: 4 + -6 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2

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