16-4x-5(3x-2)=7(x+3)

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Solution for 16-4x-5(3x-2)=7(x+3) equation:


Simplifying
16 + -4x + -5(3x + -2) = 7(x + 3)

Reorder the terms:
16 + -4x + -5(-2 + 3x) = 7(x + 3)
16 + -4x + (-2 * -5 + 3x * -5) = 7(x + 3)
16 + -4x + (10 + -15x) = 7(x + 3)

Reorder the terms:
16 + 10 + -4x + -15x = 7(x + 3)

Combine like terms: 16 + 10 = 26
26 + -4x + -15x = 7(x + 3)

Combine like terms: -4x + -15x = -19x
26 + -19x = 7(x + 3)

Reorder the terms:
26 + -19x = 7(3 + x)
26 + -19x = (3 * 7 + x * 7)
26 + -19x = (21 + 7x)

Solving
26 + -19x = 21 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
26 + -19x + -7x = 21 + 7x + -7x

Combine like terms: -19x + -7x = -26x
26 + -26x = 21 + 7x + -7x

Combine like terms: 7x + -7x = 0
26 + -26x = 21 + 0
26 + -26x = 21

Add '-26' to each side of the equation.
26 + -26 + -26x = 21 + -26

Combine like terms: 26 + -26 = 0
0 + -26x = 21 + -26
-26x = 21 + -26

Combine like terms: 21 + -26 = -5
-26x = -5

Divide each side by '-26'.
x = 0.1923076923

Simplifying
x = 0.1923076923

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