4(x-11)=7(10+6x)

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Solution for 4(x-11)=7(10+6x) equation:


Simplifying
4(x + -11) = 7(10 + 6x)

Reorder the terms:
4(-11 + x) = 7(10 + 6x)
(-11 * 4 + x * 4) = 7(10 + 6x)
(-44 + 4x) = 7(10 + 6x)
-44 + 4x = (10 * 7 + 6x * 7)
-44 + 4x = (70 + 42x)

Solving
-44 + 4x = 70 + 42x

Solving for variable 'x'.

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

Add '-42x' to each side of the equation.
-44 + 4x + -42x = 70 + 42x + -42x

Combine like terms: 4x + -42x = -38x
-44 + -38x = 70 + 42x + -42x

Combine like terms: 42x + -42x = 0
-44 + -38x = 70 + 0
-44 + -38x = 70

Add '44' to each side of the equation.
-44 + 44 + -38x = 70 + 44

Combine like terms: -44 + 44 = 0
0 + -38x = 70 + 44
-38x = 70 + 44

Combine like terms: 70 + 44 = 114
-38x = 114

Divide each side by '-38'.
x = -3

Simplifying
x = -3

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