x+5=3(5x-4)

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


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

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

Reorder the terms:
5 + x = 3(-4 + 5x)
5 + x = (-4 * 3 + 5x * 3)
5 + x = (-12 + 15x)

Solving
5 + x = -12 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
5 + x + -15x = -12 + 15x + -15x

Combine like terms: x + -15x = -14x
5 + -14x = -12 + 15x + -15x

Combine like terms: 15x + -15x = 0
5 + -14x = -12 + 0
5 + -14x = -12

Add '-5' to each side of the equation.
5 + -5 + -14x = -12 + -5

Combine like terms: 5 + -5 = 0
0 + -14x = -12 + -5
-14x = -12 + -5

Combine like terms: -12 + -5 = -17
-14x = -17

Divide each side by '-14'.
x = 1.214285714

Simplifying
x = 1.214285714

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