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

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


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

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

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

Combine like terms: 15 + -14 = 1
1 + -3x + 7x = 3(x + -4)

Combine like terms: -3x + 7x = 4x
1 + 4x = 3(x + -4)

Reorder the terms:
1 + 4x = 3(-4 + x)
1 + 4x = (-4 * 3 + x * 3)
1 + 4x = (-12 + 3x)

Solving
1 + 4x = -12 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
1 + 4x + -3x = -12 + 3x + -3x

Combine like terms: 4x + -3x = 1x
1 + 1x = -12 + 3x + -3x

Combine like terms: 3x + -3x = 0
1 + 1x = -12 + 0
1 + 1x = -12

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

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

Combine like terms: -12 + -1 = -13
1x = -13

Divide each side by '1'.
x = -13

Simplifying
x = -13

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