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

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


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

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

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

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

Reorder the terms:
-3 + 4x = 2(7 + x) + -15x
-3 + 4x = (7 * 2 + x * 2) + -15x
-3 + 4x = (14 + 2x) + -15x

Combine like terms: 2x + -15x = -13x
-3 + 4x = 14 + -13x

Solving
-3 + 4x = 14 + -13x

Solving for variable 'x'.

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

Add '13x' to each side of the equation.
-3 + 4x + 13x = 14 + -13x + 13x

Combine like terms: 4x + 13x = 17x
-3 + 17x = 14 + -13x + 13x

Combine like terms: -13x + 13x = 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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