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

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


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

Reorder the terms:
-4 + 11x = 10(x + -7) + 4

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

Reorder the terms:
-4 + 11x = -70 + 4 + 10x

Combine like terms: -70 + 4 = -66
-4 + 11x = -66 + 10x

Solving
-4 + 11x = -66 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-4 + 11x + -10x = -66 + 10x + -10x

Combine like terms: 11x + -10x = 1x
-4 + 1x = -66 + 10x + -10x

Combine like terms: 10x + -10x = 0
-4 + 1x = -66 + 0
-4 + 1x = -66

Add '4' to each side of the equation.
-4 + 4 + 1x = -66 + 4

Combine like terms: -4 + 4 = 0
0 + 1x = -66 + 4
1x = -66 + 4

Combine like terms: -66 + 4 = -62
1x = -62

Divide each side by '1'.
x = -62

Simplifying
x = -62

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