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

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


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

Reorder the terms:
4(2 + x) + -5 = 7(x + 3x)
(2 * 4 + x * 4) + -5 = 7(x + 3x)
(8 + 4x) + -5 = 7(x + 3x)

Reorder the terms:
8 + -5 + 4x = 7(x + 3x)

Combine like terms: 8 + -5 = 3
3 + 4x = 7(x + 3x)

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

Remove parenthesis around (4x)
3 + 4x = 7 * 4x

Multiply 7 * 4
3 + 4x = 28x

Solving
3 + 4x = 28x

Solving for variable 'x'.

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

Add '-28x' to each side of the equation.
3 + 4x + -28x = 28x + -28x

Combine like terms: 4x + -28x = -24x
3 + -24x = 28x + -28x

Combine like terms: 28x + -28x = 0
3 + -24x = 0

Add '-3' to each side of the equation.
3 + -3 + -24x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -24x = 0 + -3
-24x = 0 + -3

Combine like terms: 0 + -3 = -3
-24x = -3

Divide each side by '-24'.
x = 0.125

Simplifying
x = 0.125

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