4(x-3)+19=3(x+5)

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Solution for 4(x-3)+19=3(x+5) equation:


Simplifying
4(x + -3) + 19 = 3(x + 5)

Reorder the terms:
4(-3 + x) + 19 = 3(x + 5)
(-3 * 4 + x * 4) + 19 = 3(x + 5)
(-12 + 4x) + 19 = 3(x + 5)

Reorder the terms:
-12 + 19 + 4x = 3(x + 5)

Combine like terms: -12 + 19 = 7
7 + 4x = 3(x + 5)

Reorder the terms:
7 + 4x = 3(5 + x)
7 + 4x = (5 * 3 + x * 3)
7 + 4x = (15 + 3x)

Solving
7 + 4x = 15 + 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.
7 + 4x + -3x = 15 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
7 + 1x = 15 + 0
7 + 1x = 15

Add '-7' to each side of the equation.
7 + -7 + 1x = 15 + -7

Combine like terms: 7 + -7 = 0
0 + 1x = 15 + -7
1x = 15 + -7

Combine like terms: 15 + -7 = 8
1x = 8

Divide each side by '1'.
x = 8

Simplifying
x = 8

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