7+x=107-3[5x-4]

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Solution for 7+x=107-3[5x-4] equation:


Simplifying
7 + x = 107 + -3[5x + -4]

Reorder the terms:
7 + x = 107 + -3[-4 + 5x]
7 + x = 107 + [-4 * -3 + 5x * -3]
7 + x = 107 + [12 + -15x]

Combine like terms: 107 + 12 = 119
7 + x = 119 + -15x

Solving
7 + x = 119 + -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.
7 + x + 15x = 119 + -15x + 15x

Combine like terms: x + 15x = 16x
7 + 16x = 119 + -15x + 15x

Combine like terms: -15x + 15x = 0
7 + 16x = 119 + 0
7 + 16x = 119

Add '-7' to each side of the equation.
7 + -7 + 16x = 119 + -7

Combine like terms: 7 + -7 = 0
0 + 16x = 119 + -7
16x = 119 + -7

Combine like terms: 119 + -7 = 112
16x = 112

Divide each side by '16'.
x = 7

Simplifying
x = 7

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