5[7-5(6-9)]-7=7[5(7q-6)+4]-50

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Solution for 5[7-5(6-9)]-7=7[5(7q-6)+4]-50 equation:


Simplifying
5[7 + -5(6 + -9)] + -7 = 7[5(7q + -6) + 4] + -50

Combine like terms: 6 + -9 = -3
5[7 + -5(-3)] + -7 = 7[5(7q + -6) + 4] + -50

Multiply -5 * -3
5[7 + 15] + -7 = 7[5(7q + -6) + 4] + -50

Combine like terms: 7 + 15 = 22
5[22] + -7 = 7[5(7q + -6) + 4] + -50

Multiply 5 * 22
110 + -7 = 7[5(7q + -6) + 4] + -50

Combine like terms: 110 + -7 = 103
103 = 7[5(7q + -6) + 4] + -50

Reorder the terms:
103 = 7[5(-6 + 7q) + 4] + -50
103 = 7[(-6 * 5 + 7q * 5) + 4] + -50
103 = 7[(-30 + 35q) + 4] + -50

Reorder the terms:
103 = 7[-30 + 4 + 35q] + -50

Combine like terms: -30 + 4 = -26
103 = 7[-26 + 35q] + -50
103 = [-26 * 7 + 35q * 7] + -50
103 = [-182 + 245q] + -50

Reorder the terms:
103 = -182 + -50 + 245q

Combine like terms: -182 + -50 = -232
103 = -232 + 245q

Solving
103 = -232 + 245q

Solving for variable 'q'.

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

Add '-245q' to each side of the equation.
103 + -245q = -232 + 245q + -245q

Combine like terms: 245q + -245q = 0
103 + -245q = -232 + 0
103 + -245q = -232

Add '-103' to each side of the equation.
103 + -103 + -245q = -232 + -103

Combine like terms: 103 + -103 = 0
0 + -245q = -232 + -103
-245q = -232 + -103

Combine like terms: -232 + -103 = -335
-245q = -335

Divide each side by '-245'.
q = 1.367346939

Simplifying
q = 1.367346939

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