1-4(x+5)=7x-30

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Solution for 1-4(x+5)=7x-30 equation:


Simplifying
1 + -4(x + 5) = 7x + -30

Reorder the terms:
1 + -4(5 + x) = 7x + -30
1 + (5 * -4 + x * -4) = 7x + -30
1 + (-20 + -4x) = 7x + -30

Combine like terms: 1 + -20 = -19
-19 + -4x = 7x + -30

Reorder the terms:
-19 + -4x = -30 + 7x

Solving
-19 + -4x = -30 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-19 + -4x + -7x = -30 + 7x + -7x

Combine like terms: -4x + -7x = -11x
-19 + -11x = -30 + 7x + -7x

Combine like terms: 7x + -7x = 0
-19 + -11x = -30 + 0
-19 + -11x = -30

Add '19' to each side of the equation.
-19 + 19 + -11x = -30 + 19

Combine like terms: -19 + 19 = 0
0 + -11x = -30 + 19
-11x = -30 + 19

Combine like terms: -30 + 19 = -11
-11x = -11

Divide each side by '-11'.
x = 1

Simplifying
x = 1

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