7(7-(-5x-4))=175x+189

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Solution for 7(7-(-5x-4))=175x+189 equation:


Simplifying
7(7 + -1(-5x + -4)) = 175x + 189

Reorder the terms:
7(7 + -1(-4 + -5x)) = 175x + 189
7(7 + (-4 * -1 + -5x * -1)) = 175x + 189
7(7 + (4 + 5x)) = 175x + 189

Combine like terms: 7 + 4 = 11
7(11 + 5x) = 175x + 189
(11 * 7 + 5x * 7) = 175x + 189
(77 + 35x) = 175x + 189

Reorder the terms:
77 + 35x = 189 + 175x

Solving
77 + 35x = 189 + 175x

Solving for variable 'x'.

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

Add '-175x' to each side of the equation.
77 + 35x + -175x = 189 + 175x + -175x

Combine like terms: 35x + -175x = -140x
77 + -140x = 189 + 175x + -175x

Combine like terms: 175x + -175x = 0
77 + -140x = 189 + 0
77 + -140x = 189

Add '-77' to each side of the equation.
77 + -77 + -140x = 189 + -77

Combine like terms: 77 + -77 = 0
0 + -140x = 189 + -77
-140x = 189 + -77

Combine like terms: 189 + -77 = 112
-140x = 112

Divide each side by '-140'.
x = -0.8

Simplifying
x = -0.8

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