4(2x-3)+2=10(x+3)-11

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Solution for 4(2x-3)+2=10(x+3)-11 equation:


Simplifying
4(2x + -3) + 2 = 10(x + 3) + -11

Reorder the terms:
4(-3 + 2x) + 2 = 10(x + 3) + -11
(-3 * 4 + 2x * 4) + 2 = 10(x + 3) + -11
(-12 + 8x) + 2 = 10(x + 3) + -11

Reorder the terms:
-12 + 2 + 8x = 10(x + 3) + -11

Combine like terms: -12 + 2 = -10
-10 + 8x = 10(x + 3) + -11

Reorder the terms:
-10 + 8x = 10(3 + x) + -11
-10 + 8x = (3 * 10 + x * 10) + -11
-10 + 8x = (30 + 10x) + -11

Reorder the terms:
-10 + 8x = 30 + -11 + 10x

Combine like terms: 30 + -11 = 19
-10 + 8x = 19 + 10x

Solving
-10 + 8x = 19 + 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.
-10 + 8x + -10x = 19 + 10x + -10x

Combine like terms: 8x + -10x = -2x
-10 + -2x = 19 + 10x + -10x

Combine like terms: 10x + -10x = 0
-10 + -2x = 19 + 0
-10 + -2x = 19

Add '10' to each side of the equation.
-10 + 10 + -2x = 19 + 10

Combine like terms: -10 + 10 = 0
0 + -2x = 19 + 10
-2x = 19 + 10

Combine like terms: 19 + 10 = 29
-2x = 29

Divide each side by '-2'.
x = -14.5

Simplifying
x = -14.5

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