6x+48=4(5-3x)+14x

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Solution for 6x+48=4(5-3x)+14x equation:


Simplifying
6x + 48 = 4(5 + -3x) + 14x

Reorder the terms:
48 + 6x = 4(5 + -3x) + 14x
48 + 6x = (5 * 4 + -3x * 4) + 14x
48 + 6x = (20 + -12x) + 14x

Combine like terms: -12x + 14x = 2x
48 + 6x = 20 + 2x

Solving
48 + 6x = 20 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
48 + 6x + -2x = 20 + 2x + -2x

Combine like terms: 6x + -2x = 4x
48 + 4x = 20 + 2x + -2x

Combine like terms: 2x + -2x = 0
48 + 4x = 20 + 0
48 + 4x = 20

Add '-48' to each side of the equation.
48 + -48 + 4x = 20 + -48

Combine like terms: 48 + -48 = 0
0 + 4x = 20 + -48
4x = 20 + -48

Combine like terms: 20 + -48 = -28
4x = -28

Divide each side by '4'.
x = -7

Simplifying
x = -7

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