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

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


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

Reorder the terms:
5x + 4(-3 + x) = 10x + 5
5x + (-3 * 4 + x * 4) = 10x + 5
5x + (-12 + 4x) = 10x + 5

Reorder the terms:
-12 + 5x + 4x = 10x + 5

Combine like terms: 5x + 4x = 9x
-12 + 9x = 10x + 5

Reorder the terms:
-12 + 9x = 5 + 10x

Solving
-12 + 9x = 5 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-12 + 9x + -10x = 5 + 10x + -10x

Combine like terms: 9x + -10x = -1x
-12 + -1x = 5 + 10x + -10x

Combine like terms: 10x + -10x = 0
-12 + -1x = 5 + 0
-12 + -1x = 5

Add '12' to each side of the equation.
-12 + 12 + -1x = 5 + 12

Combine like terms: -12 + 12 = 0
0 + -1x = 5 + 12
-1x = 5 + 12

Combine like terms: 5 + 12 = 17
-1x = 17

Divide each side by '-1'.
x = -17

Simplifying
x = -17

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