7(x-9)-10=32x-348

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Solution for 7(x-9)-10=32x-348 equation:


Simplifying
7(x + -9) + -10 = 32x + -348

Reorder the terms:
7(-9 + x) + -10 = 32x + -348
(-9 * 7 + x * 7) + -10 = 32x + -348
(-63 + 7x) + -10 = 32x + -348

Reorder the terms:
-63 + -10 + 7x = 32x + -348

Combine like terms: -63 + -10 = -73
-73 + 7x = 32x + -348

Reorder the terms:
-73 + 7x = -348 + 32x

Solving
-73 + 7x = -348 + 32x

Solving for variable 'x'.

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

Add '-32x' to each side of the equation.
-73 + 7x + -32x = -348 + 32x + -32x

Combine like terms: 7x + -32x = -25x
-73 + -25x = -348 + 32x + -32x

Combine like terms: 32x + -32x = 0
-73 + -25x = -348 + 0
-73 + -25x = -348

Add '73' to each side of the equation.
-73 + 73 + -25x = -348 + 73

Combine like terms: -73 + 73 = 0
0 + -25x = -348 + 73
-25x = -348 + 73

Combine like terms: -348 + 73 = -275
-25x = -275

Divide each side by '-25'.
x = 11

Simplifying
x = 11

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