15(x-1)+4(x+3)=2(7+x)

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Solution for 15(x-1)+4(x+3)=2(7+x) equation:


Simplifying
15(x + -1) + 4(x + 3) = 2(7 + x)

Reorder the terms:
15(-1 + x) + 4(x + 3) = 2(7 + x)
(-1 * 15 + x * 15) + 4(x + 3) = 2(7 + x)
(-15 + 15x) + 4(x + 3) = 2(7 + x)

Reorder the terms:
-15 + 15x + 4(3 + x) = 2(7 + x)
-15 + 15x + (3 * 4 + x * 4) = 2(7 + x)
-15 + 15x + (12 + 4x) = 2(7 + x)

Reorder the terms:
-15 + 12 + 15x + 4x = 2(7 + x)

Combine like terms: -15 + 12 = -3
-3 + 15x + 4x = 2(7 + x)

Combine like terms: 15x + 4x = 19x
-3 + 19x = 2(7 + x)
-3 + 19x = (7 * 2 + x * 2)
-3 + 19x = (14 + 2x)

Solving
-3 + 19x = 14 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-3 + 19x + -2x = 14 + 2x + -2x

Combine like terms: 19x + -2x = 17x
-3 + 17x = 14 + 2x + -2x

Combine like terms: 2x + -2x = 0
-3 + 17x = 14 + 0
-3 + 17x = 14

Add '3' to each side of the equation.
-3 + 3 + 17x = 14 + 3

Combine like terms: -3 + 3 = 0
0 + 17x = 14 + 3
17x = 14 + 3

Combine like terms: 14 + 3 = 17
17x = 17

Divide each side by '17'.
x = 1

Simplifying
x = 1

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