15(x+1)-7(x-9)=4x

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Solution for 15(x+1)-7(x-9)=4x equation:


Simplifying
15(x + 1) + -7(x + -9) = 4x

Reorder the terms:
15(1 + x) + -7(x + -9) = 4x
(1 * 15 + x * 15) + -7(x + -9) = 4x
(15 + 15x) + -7(x + -9) = 4x

Reorder the terms:
15 + 15x + -7(-9 + x) = 4x
15 + 15x + (-9 * -7 + x * -7) = 4x
15 + 15x + (63 + -7x) = 4x

Reorder the terms:
15 + 63 + 15x + -7x = 4x

Combine like terms: 15 + 63 = 78
78 + 15x + -7x = 4x

Combine like terms: 15x + -7x = 8x
78 + 8x = 4x

Solving
78 + 8x = 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
78 + 8x + -4x = 4x + -4x

Combine like terms: 8x + -4x = 4x
78 + 4x = 4x + -4x

Combine like terms: 4x + -4x = 0
78 + 4x = 0

Add '-78' to each side of the equation.
78 + -78 + 4x = 0 + -78

Combine like terms: 78 + -78 = 0
0 + 4x = 0 + -78
4x = 0 + -78

Combine like terms: 0 + -78 = -78
4x = -78

Divide each side by '4'.
x = -19.5

Simplifying
x = -19.5

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