(4x+5)+(10x-3)=15x-4

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Solution for (4x+5)+(10x-3)=15x-4 equation:


Simplifying
(4x + 5) + (10x + -3) = 15x + -4

Reorder the terms:
(5 + 4x) + (10x + -3) = 15x + -4

Remove parenthesis around (5 + 4x)
5 + 4x + (10x + -3) = 15x + -4

Reorder the terms:
5 + 4x + (-3 + 10x) = 15x + -4

Remove parenthesis around (-3 + 10x)
5 + 4x + -3 + 10x = 15x + -4

Reorder the terms:
5 + -3 + 4x + 10x = 15x + -4

Combine like terms: 5 + -3 = 2
2 + 4x + 10x = 15x + -4

Combine like terms: 4x + 10x = 14x
2 + 14x = 15x + -4

Reorder the terms:
2 + 14x = -4 + 15x

Solving
2 + 14x = -4 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
2 + 14x + -15x = -4 + 15x + -15x

Combine like terms: 14x + -15x = -1x
2 + -1x = -4 + 15x + -15x

Combine like terms: 15x + -15x = 0
2 + -1x = -4 + 0
2 + -1x = -4

Add '-2' to each side of the equation.
2 + -2 + -1x = -4 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = -4 + -2
-1x = -4 + -2

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

Divide each side by '-1'.
x = 6

Simplifying
x = 6

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