(x+7)4-6*-7=76

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Solution for (x+7)4-6*-7=76 equation:


Simplifying
(x + 7) * 4 + -6 * -7 = 76

Reorder the terms:
(7 + x) * 4 + -6 * -7 = 76

Reorder the terms for easier multiplication:
4(7 + x) + -6 * -7 = 76
(7 * 4 + x * 4) + -6 * -7 = 76
(28 + 4x) + -6 * -7 = 76

Multiply -6 * -7
28 + 4x + 42 = 76

Reorder the terms:
28 + 42 + 4x = 76

Combine like terms: 28 + 42 = 70
70 + 4x = 76

Solving
70 + 4x = 76

Solving for variable 'x'.

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

Add '-70' to each side of the equation.
70 + -70 + 4x = 76 + -70

Combine like terms: 70 + -70 = 0
0 + 4x = 76 + -70
4x = 76 + -70

Combine like terms: 76 + -70 = 6
4x = 6

Divide each side by '4'.
x = 1.5

Simplifying
x = 1.5

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