-312=6x-5(4-7x)

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Solution for -312=6x-5(4-7x) equation:


Simplifying
-312 = 6x + -5(4 + -7x)
-312 = 6x + (4 * -5 + -7x * -5)
-312 = 6x + (-20 + 35x)

Reorder the terms:
-312 = -20 + 6x + 35x

Combine like terms: 6x + 35x = 41x
-312 = -20 + 41x

Solving
-312 = -20 + 41x

Solving for variable 'x'.

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

Add '-41x' to each side of the equation.
-312 + -41x = -20 + 41x + -41x

Combine like terms: 41x + -41x = 0
-312 + -41x = -20 + 0
-312 + -41x = -20

Add '312' to each side of the equation.
-312 + 312 + -41x = -20 + 312

Combine like terms: -312 + 312 = 0
0 + -41x = -20 + 312
-41x = -20 + 312

Combine like terms: -20 + 312 = 292
-41x = 292

Divide each side by '-41'.
x = -7.12195122

Simplifying
x = -7.12195122

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